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# At Betty's Bagels, bagels normally cost x each, but with purchases of

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Math Expert
Joined: 02 Sep 2009
Posts: 58431
At Betty's Bagels, bagels normally cost x each, but with purchases of  [#permalink]

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31 Oct 2018, 02:27
00:00

Difficulty:

15% (low)

Question Stats:

90% (02:37) correct 10% (02:53) wrong based on 24 sessions

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At Betty's Bagels, bagels normally cost x each, but with purchases of each dozen the customer receives a discount of 1.40 dollars. Billy buys 56 bagels and calculates that he spends an average of 90 cents per bagel. What is the value of x?

A. \$1.00
B. \$1.40
C. \$1.60
D. \$2.20
E. \$2.75

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Re: At Betty's Bagels, bagels normally cost x each, but with purchases of  [#permalink]

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31 Oct 2018, 02:49
Bunuel wrote:
At Betty's Bagels, bagels normally cost x each, but with purchases of each dozen the customer receives a discount of 1.40 dollars. Billy buys 56 bagels and calculates that he spends an average of 90 cents per bagel. What is the value of x?

A. \$1.00
B. \$1.40
C. \$1.60
D. \$2.20
E. \$2.75

Normal cost of bagel = x

normal cost of 12 (a dozen) bagel = 12x

After discount the price of one dozen bagel = 12x - 1.4

Total Bagels bought = 56 = 4 dozen and 8 bagel

i.e. Total cost = 4*(12x - 1.4) + 8x

also, total cost of 56 bagel = 0.9*56

i.e. 4*(12x - 1.4) + 8x = 0.9*56

i.e. 56x - 5.6 = 0.9*56

i.e. 56x = 56

i.e. x = 1

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Re: At Betty's Bagels, bagels normally cost x each, but with purchases of  [#permalink]

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31 Oct 2018, 10:53
GMATinsight: although question was straight forward I wanted to know do we get questions in gmat related to cents, dollars, pennies as here in question we had to convert pennies to \$ .... I initially did the mistake while solving the question by not converting it to dollar..
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Re: At Betty's Bagels, bagels normally cost x each, but with purchases of  [#permalink]

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31 Oct 2018, 14:41
Cost of 1 bagel is x
Discount of \$1.40 is given when 12 bagels are purchased
Bagels bought 56 and cost of each bagel came out to be 90 cents = .90
Therefore,
56(.90) = 56x -4(1.40)
50.4+ 5.6 = 56x
56 = 56x
x = \$1.00

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Re: At Betty's Bagels, bagels normally cost x each, but with purchases of  [#permalink]

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31 Oct 2018, 20:14
1
Archit3110 wrote:
GMATinsight: although question was straight forward I wanted to know do we get questions in gmat related to cents, dollars, pennies as here in question we had to convert pennies to \$ .... I initially did the mistake while solving the question by not converting it to dollar..

Archit3110

Dollar and Cents conversion is expected of us so we MUST know this.

Use of terms like pennies, quarters and dimes are unexpected.

Conversion of units such as yard to feet, pound to ounces, miles to kilometers will always be given in question

Similarly Conversion of Hours in to minutes, minutes into seconds, Feet into inches is expected of us so we should know it.

A few unit conversion for helps is as follows

1 Dollar = 100 cents
1 penny = 1 cent
1 Dime = 10 cents
1 Quarter = 25 cents
1 Nickel = 5 cents

1 yard = 3 feet
1 Pound = 16 Ounces
1 Mile = 1.6 Km = 5280 feet

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Re: At Betty's Bagels, bagels normally cost x each, but with purchases of   [#permalink] 31 Oct 2018, 20:14
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