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Tami purchased several identically priced metal frames and several ide

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Re: Tami purchased several identically priced metal frames and several ide [#permalink]
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jsound996 wrote:
gmatt1476 wrote:
Tami purchased several identically priced metal frames and several identically priced wooden frames for a total pretax price of $144. What was the total pretax price of the metal frames that Tami purchased? (1) The price of each metal frame was 60% greater than the price of each wooden frame. (2) Tami purchased twice as many wooden frames as metal frames. DS50571.01 Let's say: # of Metal Frames = M # of Wooden Frames = W Price of Metal Frame = A Price of Wooden Frame = B When we set the equation up: MA + WB =$144

What we are trying to solve for: The value of MA

1.) A = 1.6B Not sufficient
2.) M = 2W Not sufficent

1+2
Substitute MA for from statement 1 and 2. You should get this:
(2W*1.6B) + WB = 144
3.2W + WB = 144
4.2WB = 144
WB = 144/4.2

We know the value of WB, we can plug in 144/4.2 into WB.
MA + (144/4.2) = 144

You can directly solve for MA, the answer is C

Just a lil correction - It's w=2m and not m=2w.
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Re: Tami purchased several identically priced metal frames and several ide [#permalink]
jsound996 wrote:
gmatt1476 wrote:
Tami purchased several identically priced metal frames and several identically priced wooden frames for a total pretax price of $144. What was the total pretax price of the metal frames that Tami purchased? (1) The price of each metal frame was 60% greater than the price of each wooden frame. (2) Tami purchased twice as many wooden frames as metal frames. DS50571.01 Let's say: # of Metal Frames = M # of Wooden Frames = W Price of Metal Frame = A Price of Wooden Frame = B When we set the equation up: MA + WB =$144

What we are trying to solve for: The value of MA

1.) A = 1.6B Not sufficient
2.) W = 2M Not sufficent

1+2
Substitute MA for from statement 1 and 2. You should get this:
((W/2)*1.6B) + WB = 144
0.8WB + WB = 144
1.2WB = 144
WB = 144/1.2

We know the value of WB, we can plug in 144/4.2 into WB.
MA + (144/1.2) = 144

You can directly solve for MA, the answer is C

why is 0.8 + 1 = 1.2 ?
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Re: Tami purchased several identically priced metal frames and several ide [#permalink]
let qty of MF be a and WF = b
price of MF = x and WF = y
givenn
ax+by=144
target find ax value
#1
The price of each metal frame was 60% greater than the price of each wooden frame.
x=1.6y
insufficient
#2
Tami purchased twice as many wooden frames as metal frames.
b=2a
insufficient
from 1 &2
b/2*1.6y +by=144
solve for by = 80
and ax = 144-80 ; 64
sufficient
OPTION C

gmatt1476 wrote:
Tami purchased several identically priced metal frames and several identically priced wooden frames for a total pretax price of $144. What was the total pretax price of the metal frames that Tami purchased? (1) The price of each metal frame was 60% greater than the price of each wooden frame. (2) Tami purchased twice as many wooden frames as metal frames. DS50571.01 Intern Joined: 08 Feb 2020 Posts: 34 Own Kudos [?]: 32 [0] Given Kudos: 146 GMAT 1: 780 Q50 V47 Re: Tami purchased several identically priced metal frames and several ide [#permalink] gmatt1476 wrote: Tami purchased several identically priced metal frames and several identically priced wooden frames for a total pretax price of$144. What was the total pretax price of the metal frames that Tami purchased?

(1) The price of each metal frame was 60% greater than the price of each wooden frame.
(2) Tami purchased twice as many wooden frames as metal frames.

DS50571.01

Let number of metal frames be x and number of wooden frames be y.
Let price of metal frames be p and prices of wooden frames be q.
According to the question: p*x + q*y = 144 (i)
We need to find the value of p*x.
Now lets move on to the statements.

1) Tells us that p = 1.6*q(60% greater than q) . Still no information about the number of metal and wooden frames.
Not sufficient
2) Tells us that y = 2*x. No information about prices.
Not sufficient

1) and 2) combined:
put p = 1.6*q and y = 2*x in (i)
1.6*q*x + 2*q*x = 144.
Solving this we get value of q*x. Multiply it by 1.6 and we get p*x.
Hence 1) and 2) together are Sufficient.
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Re: Tami purchased several identically priced metal frames and several ide [#permalink]
gmatt1476 wrote:
Tami purchased several identically priced metal frames and several identically priced wooden frames for a total pretax price of $144. What was the total pretax price of the metal frames that Tami purchased? (1) The price of each metal frame was 60% greater than the price of each wooden frame. (2) Tami purchased twice as many wooden frames as metal frames. DS50571.01 Wait, this seems confuse to me, aren't we suppose to find the PRICE of the metal frames? with 1 and 2 we can only find the total value paid for the metal frames Intern Joined: 08 Feb 2020 Posts: 34 Own Kudos [?]: 32 [0] Given Kudos: 146 GMAT 1: 780 Q50 V47 Re: Tami purchased several identically priced metal frames and several ide [#permalink] Gustavoncf wrote: gmatt1476 wrote: Tami purchased several identically priced metal frames and several identically priced wooden frames for a total pretax price of$144. What was the total pretax price of the metal frames that Tami purchased?

(1) The price of each metal frame was 60% greater than the price of each wooden frame.
(2) Tami purchased twice as many wooden frames as metal frames.

DS50571.01

Wait, this seems confuse to me, aren't we suppose to find the PRICE of the metal frames?

with 1 and 2 we can only find the total value paid for the metal frames

We need to find the total pretax price of metal frames, not price per piece of the metal frames.
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Re: Tami purchased several identically priced metal frames and several ide [#permalink]
VeritasKarishma chetan2u Bunuel Can this problem be solved using weighted averages? If yes, how? If no, why?
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Re: Tami purchased several identically priced metal frames and several ide [#permalink]
Chidinho wrote:
VeritasKarishma chetan2u Bunuel Can this problem be solved using weighted averages? If yes, how? If no, why?

You can use weighted averages.

If price of wooden frame is 10x, price of metal frame is 16x.
Since w:m = 2:1 (say she purchased 2y wooden frames and y metal frames), average price will be 12x (the distance between 10x and 16x will be divided in the ratio 1:2 to get the average or use weighted avg formula)

Average price = 144/3y = 12x
xy = 4

We need the value of 16x * y which is 64.
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Re: Tami purchased several identically priced metal frames and several ide [#permalink]
I have a query with regards to the wording of the question here -

The question mentions 'pre-tax price' specifically. However the statements mention only price. since pre-tax is written so specifically, should price in the statements refer to post-tax price?

Kindly help understand please - I tried reading the question again however, I am unable to understand why pre-tax is written specifically when in the statements price means the same as pre-tax price.

Thanks
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Re: Tami purchased several identically priced metal frames and several ide [#permalink]
2
Kudos
pgwodehouse wrote:
I have a query with regards to the wording of the question here -

The question mentions 'pre-tax price' specifically. However the statements mention only price. since pre-tax is written so specifically, should price in the statements refer to post-tax price?

Kindly help understand please - I tried reading the question again however, I am unable to understand why pre-tax is written specifically when in the statements price means the same as pre-tax price.

Thanks

Yes, there is certainly some discrepancy here. The question stem says "pre-tax price" while the statements say "price". One would wonder whether tax has any role to play in it. An actual GMAT question should not have any such ambiguity.
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Re: Tami purchased several identically priced metal frames and several ide [#permalink]
pgwodehouse wrote:
I have a query with regards to the wording of the question here -

The question mentions 'pre-tax price' specifically. However the statements mention only price. since pre-tax is written so specifically, should price in the statements refer to post-tax price?

Kindly help understand please - I tried reading the question again however, I am unable to understand why pre-tax is written specifically when in the statements price means the same as pre-tax price.

Thanks

Yes, there is certainly some discrepancy here. The question stem says "pre-tax price" while the statements say "price". One would wonder whether tax has any role to play in it. An actual GMAT question should not have any such ambiguity.

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Re: Tami purchased several identically priced metal frames and several ide [#permalink]
I always get stumped by the wording. Even though the word total qualifies it, whenever I see price, I think of the per unit cost/amount, and thus I thought we had to calculate the price (per unit) of the metal frame. But a good thing to keep in mind is to either be on the look out for 'total' or it would be phrased as 'amount paid for metal frames..'
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Re: Tami purchased several identically priced metal frames and several ide [#permalink]
chrtpmdr wrote:
jsound996 wrote:
gmatt1476 wrote:
Tami purchased several identically priced metal frames and several identically priced wooden frames for a total pretax price of $144. What was the total pretax price of the metal frames that Tami purchased? (1) The price of each metal frame was 60% greater than the price of each wooden frame. (2) Tami purchased twice as many wooden frames as metal frames. DS50571.01 Let's say: # of Metal Frames = M # of Wooden Frames = W Price of Metal Frame = A Price of Wooden Frame = B When we set the equation up: MA + WB =$144

What we are trying to solve for: The value of MA

1.) A = 1.6B Not sufficient
2.) W = 2M Not sufficent

1+2
Substitute MA for from statement 1 and 2. You should get this:
((W/2)*1.6B) + WB = 144
0.8WB + WB = 144
1.2WB = 144
WB = 144/1.2

We know the value of WB, we can plug in 144/4.2 into WB.
MA + (144/1.2) = 144

You can directly solve for MA, the answer is C

why is 0.8 + 1 = 1.2 ?

It's not, it's 1.8WB
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Tami purchased several identically priced metal frames and several ide [#permalink]
X = price metal frame
M = quantity metal frame

Y= price wood frame
W = quantity wood frame

value of X?

XM+YW=\$144

If we rewrite the Q

$$(144-YW)/M=X$$

(1) X= 60% greater than Y ---> $$X=16/10Y$$ "No Suff."

Even with substitution we have variables for which we don't know the value

(2) W=2M ---> "No Suff"

Same as above

(3)

Substitute the value from statement (1) & (2)

$$16/10YM + 2YM=144$$
$$16YM+20YM=1440$$
$$36YM=1440$$
$$YM = 40$$

Finally substitute 40 into the equation

$$16/10 (40) = 64$$
Tami purchased several identically priced metal frames and several ide [#permalink]
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