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The price of gasoline at a service station increased from $1.65 per ga

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The price of gasoline at a service station increased from $1.65 per ga  [#permalink]

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New post 22 Jun 2018, 23:37
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Question Stats:

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The price of gasoline at a service station increased from $1.65 per gallon last week to $1.82 per gallon this week. Sally paid $26.40 for gasoline last week at the station. How much more will Sally pay this week at the station for the same amount of gasoline?

A. $1.70

B. $2.55

C. $2.64

D. $2.72

E. $2.90



NEW question from GMAT® Official Guide 2019


(PS13159)

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The price of gasoline at a service station increased from $1.65 per ga  [#permalink]

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New post 10 Nov 2018, 17:29
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The hardest part of the problem is meeting the time constraint.

The in the approach that I used I tried to avoid dividing and multiplying large numbers, as this is one of the things I struggle with.

First find the size of the tank by 26.40/1.65. For this I took both numbers to their prime factorization to get (2^4 x3x5x11)/(3x5x11).
From there everything cancels pretty nicely to leave 2^4 which yields 16; which is the size of the tank.

Then take the size of the tank by the price increase per gallon to get the total cost increase, which is:

16x.17 = 2.72

Answer D
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Re: The price of gasoline at a service station increased from $1.65 per ga  [#permalink]

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New post 22 Jun 2018, 23:49
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Answer is D.

Gasoline = 26.40/1.65 = 16 galloons
Price difference = (1.82-1.65) = $0.17 per gallon

Price difference for 16 gallons = (0.17*16) = 2.72

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The price of gasoline at a service station increased from $1.65 per ga  [#permalink]

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New post 23 Jun 2018, 02:34
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Bunuel wrote:
The price of gasoline at a service station increased from $1.65 per gallon last week to $1.82 per gallon this week. Sally paid $26.40 for gasoline last week at the station. How much more will Sally pay this week at the station for the same amount of gasoline?

A. $1.70

B. $2.55

C. $2.64

D. $2.72

E. $2.90

NEW question from GMAT® Official Guide 2019


(PS13159)


Since the price of gasoline goes up from $1.65 to $1.82 from last week to now,
the amount that Sally spends on gasoline also goes up by a similar margin.

As, 1.65 -> 26.40 | 1.82 -> x(amount Sally spent on gasoline)

\(1.65 * x = 26.40 * 1.82\) ->\(x = 26.40 * \frac{1.82}{1.65} = $29.12\)

Therefore, Sally spends \($29.12 - $26.40 = $2.72\)(Option D) more on gasoline this week.
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Re: The price of gasoline at a service station increased from $1.65 per ga  [#permalink]

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New post 25 Jun 2018, 04:44
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Solution



Given:
    • The price of gasoline at a service station increased from $1.65 per gallon to $1.82 per gallon
    • Sally paid $26.40 for last gasoline last week

To find:
    • What will be the equivalent price Sally have to pay this week, due to price increase

Approach and Working:
    • Increase in price per gallon = \(($1.82 - $1.65) = $0.17\)

Therefore, we can say:
    • In $1.65 the cost increases $0.17
    Or, in $26.40 the cost increases \(\frac{0.17}{1.65} * 26.40 = $2.72\)

Hence, the correct answer is option D.

Answer: D
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Re: The price of gasoline at a service station increased from $1.65 per ga  [#permalink]

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New post 27 Jun 2018, 18:05
Bunuel wrote:
The price of gasoline at a service station increased from $1.65 per gallon last week to $1.82 per gallon this week. Sally paid $26.40 for gasoline last week at the station. How much more will Sally pay this week at the station for the same amount of gasoline?

A. $1.70

B. $2.55

C. $2.64

D. $2.72

E. $2.90


Since $26.40 bought 26.40/1.65 = 16 gallons last week, and this week she has to pay 1.82 - 1.65 = $0.17 more per gallon, she has to pay 16 x 0.17 = $2.72 more this week for the same amount of gasoline.

Answer: D
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Re: The price of gasoline at a service station increased from $1.65 per ga  [#permalink]

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New post 06 Sep 2018, 22:15
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JeffTargetTestPrep wrote:
Bunuel wrote:
The price of gasoline at a service station increased from $1.65 per gallon last week to $1.82 per gallon this week. Sally paid $26.40 for gasoline last week at the station. How much more will Sally pay this week at the station for the same amount of gasoline?

A. $1.70

B. $2.55

C. $2.64

D. $2.72

E. $2.90


Since $26.40 bought 26.40/1.65 = 16 gallons last week, and this week she has to pay 1.82 - 1.65 = $0.17 more per gallon, she has to pay 16 x 0.17 = $2.72 more this week for the same amount of gasoline.

Answer: D


How to easily calculate this 26.40/1.65 = 16?
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Re: The price of gasoline at a service station increased from $1.65 per ga  [#permalink]

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New post 10 Sep 2018, 03:29
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EgmatQuantExpert wrote:

Solution



Given:
    • The price of gasoline at a service station increased from $1.65 per gallon to $1.82 per gallon
    • Sally paid $26.40 for last gasoline last week

To find:
    • What will be the equivalent price Sally have to pay this week, due to price increase

Approach and Working:
    • Increase in price per gallon = \(($1.82 - $1.65) = $0.17\)

Therefore, we can say:
    • In $1.65 the cost increases $0.17
    Or, in $26.40 the cost increases \(\frac{0.17}{1.65} * 26.40 = $2.72\)

Hence, the correct answer is option D.

Answer: D


Gasoline = 26.40/1.65 = 16 galloons
16*1.82 = 29.12
29.12-26.40=2.72

Hello egmat Pyal the problem here is the process i mentioned to solve this question is more natural to me but the problem is it takes lot of calculation i am unable to map out the clean and easy way in any GMAT question as you have done. if you could help me find how to do fewer calculations like your method. i would be really obliged.
Thanks
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Re: The price of gasoline at a service station increased from $1.65 per ga  [#permalink]

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New post 12 Feb 2019, 04:59
Bunuel wrote:
The price of gasoline at a service station increased from $1.65 per gallon last week to $1.82 per gallon this week. Sally paid $26.40 for gasoline last week at the station. How much more will Sally pay this week at the station for the same amount of gasoline?

NEW question from GMAT® Official Guide 2019


(PS13159)


He filled, this much liters last week = 26.40 / 1.65 = 16

This week he will fill = 16 * 1.82 = 29.12

Difference = 29.12 - 26.40

D. $2.72
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Re: The price of gasoline at a service station increased from $1.65 per ga  [#permalink]

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New post 12 Feb 2019, 11:16
Bunuel wrote:
The price of gasoline at a service station increased from $1.65 per gallon last week to $1.82 per gallon this week. Sally paid $26.40 for gasoline last week at the station. How much more will Sally pay this week at the station for the same amount of gasoline?

A. $1.70

B. $2.55

C. $2.64

D. $2.72

E. $2.90



NEW question from GMAT® Official Guide 2019


(PS13159)


\(\frac{2640}{165}*182\)

\(= 2912\)

This, Difference is \(2912 - 2640 = 272\), Answer must be (D)
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Re: The price of gasoline at a service station increased from $1.65 per ga  [#permalink]

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New post 06 May 2019, 06:23
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Bunuel wrote:
The price of gasoline at a service station increased from $1.65 per gallon last week to $1.82 per gallon this week. Sally paid $26.40 for gasoline last week at the station. How much more will Sally pay this week at the station for the same amount of gasoline?

A. $1.70
B. $2.55
C. $2.64
D. $2.72
E. $2.90

NEW question from GMAT® Official Guide 2019


(PS13159)


Since the amount paid is proportional to the price per gallon, we can use equivalent ratios

Let x = how much Sally will pay THIS WEEK

We get: 26.40/1.65 = x/1.82
Cross multiply to get: 1.65x = (26.40)(1.82)
Divide both sides by 1.65 to get: x = (26.40)(1.82)/1.65
So, the amount Sally pays this week = (26.40)(1.82)/1.65

ASIDE: This expression is a bit of a mess to calculate (without a calculator!!)
Notice that 1.82/1.65 probably won't simplify nicely, but maybe 26.40/1.65 will simplify.
At this point, we have two options.
We can use long division to calculate 26.40/1.65, or we can try to simplify the fraction.
Let's simplify the fraction

Take: 26.40/1.65
Multiply top and bottom by 100 to get: 2640/165 [much easier to work with integers!]
Divide top and bottom by 5 to get: 528/33 [below I have a video that shows a quick way to mentally divide numbers by 5]
Divide top and bottom by 3 to get: 176/11
Divide top and bottom by 11 to get: 16

Since 26.40/1.65 = 16, we know that (26.40)(1.82)/1.65 = (1.82)(26.40/1.65) = (1.82)(16)
= $29.12

How much more will Sally pay this week at the station for the same amount of gasoline?
Answer = $29.12 - $26.40
= $2.72

Answer: D

It's not pretty, but it MIGHT be a little faster than long division.

VIDEO ON MENTALLY DIVIDING BY 5

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Re: The price of gasoline at a service station increased from $1.65 per ga  [#permalink]

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New post 06 May 2019, 07:23
Let,
Number of gallon = x
So,
1.65x=26.40

=> x = 26.40/1.65=16 gallons


More price per gallon = (1.82-1.65)=0.17

Thus,

More price should be given for total gallons = 16*0.17= 2.72


Answer is D

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Re: The price of gasoline at a service station increased from $1.65 per ga  [#permalink]

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New post 06 May 2019, 07:25
Bunuel wrote:
The price of gasoline at a service station increased from $1.65 per gallon last week to $1.82 per gallon this week. Sally paid $26.40 for gasoline last week at the station. How much more will Sally pay this week at the station for the same amount of gasoline?

A. $1.70

B. $2.55

C. $2.64

D. $2.72

E. $2.90



NEW question from GMAT® Official Guide 2019


(PS13159)


Let,
Number of gallon = x
So,
1.65x=26.40

=> x = 26.40/1.65=16 gallons


More price per gallon = (1.82-1.65)=0.17

Thus,

More price should be given for total gallons = 16*0.17= 2.72


Answer is D

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Re: The price of gasoline at a service station increased from $1.65 per ga  [#permalink]

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New post 15 May 2019, 09:51
Is there really no better way to divide 26.40 / 1.65 than just using brute force?
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Re: The price of gasoline at a service station increased from $1.65 per ga  [#permalink]

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New post 23 May 2019, 07:14
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I knew conceptually how to approach this question but dividing 26.40/1.65 was the tricky bit for me and affecting my timing. As bcal95 explained, try using prime factorization when having to divide big numbers like this. So my approach is:

26.40/1.65

Remove the decimal points

= 2640/165

Do prime factorization on top and bottom (numerator and denominator)

2640 = 2*2*3*4*5*11
165 = 3*5*11

Therefore (2*2*3*4*5*11)/(3*5*11)

Cancel relevant factors and you get 2*2*4 = 16

Then follow through with the rest of the calculation:
1.82 * 16 = 29.12

29.12-26.40 = 2.72

Answer D
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Re: The price of gasoline at a service station increased from $1.65 per ga  [#permalink]

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New post 25 May 2019, 01:17
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Hi!

I prefer mental math in such questions. We know there is a 17 point increase on 165. it'd be a 10% rise had it been on 170. a drop of 5 in the denominator would skew result by just over 0.3 points. so for final payment we know its definitely more than 2.64 ie more than 10%. 2.90 is almost 11% i figured hence it should be 2.72
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Re: The price of gasoline at a service station increased from $1.65 per ga   [#permalink] 25 May 2019, 01:17
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