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A certain bakery sells only cupcakes and brownies, and charges $5 for

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A certain bakery sells only cupcakes and brownies, and charges $5 for [#permalink]

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New post 09 Aug 2017, 23:34
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A certain bakery sells only cupcakes and brownies, and charges $5 for each cupcake and $4 for each brownie. If Jeremy spent $34 purchasing 8 items at the bakery, how many brownies did he purchase?

A. 2
B. 3
C. 4
D. 5
E. 6
[Reveal] Spoiler: OA

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A certain bakery sells only cupcakes and brownies, and charges $5 for [#permalink]

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New post 09 Aug 2017, 23:39
Bunuel wrote:
A certain bakery sells only cupcakes and brownies, and charges $5 for each cupcake and $4 for each brownie. If Jeremy spent $34 purchasing 8 items at the bakery, how many brownies did he purchase?

A. 2
B. 3
C. 4
D. 5
E. 6


Let no of cupcakes purchased be \(c\) and no of brownies purchased be \(b\)
As per the question

\(5c + 4b =34\) --------------(1) &
\(c + b = 8\) ------------------(2)

Solving equation 1 & 2 we get
\(b = 6\)

Option E

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Re: A certain bakery sells only cupcakes and brownies, and charges $5 for [#permalink]

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New post 10 Aug 2017, 14:22
Bunuel wrote:
A certain bakery sells only cupcakes and brownies, and charges $5 for each cupcake and $4 for each brownie. If Jeremy spent $34 purchasing 8 items at the bakery, how many brownies did he purchase?

A. 2
B. 3
C. 4
D. 5
E. 6


We even do not have to solve equation here if we do not want to).
I prefer to solve equtions usually, but in this cas used a different approach.
n - number of cupcakes.
k - number of brownies.
So 5n+4k=34 -------> n must be even.
n+k=8
n k
0 not integer
2 6
4 not integer
6 1
8 not positive

So it is only 2 and 6. So option E.

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Re: A certain bakery sells only cupcakes and brownies, and charges $5 for [#permalink]

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New post 10 Aug 2017, 23:20
Given:
Price of cupcake : 5$
Price of brownie : 4$

Let the number of brownies be x.
Also, the number of cupcakes are 8-x
We have been given the total amount earned by selling both Cupcakes and Brownies are 34$.

Therefore, 4x + 5(8-x) = 34
4x + 40 - 5x = 34
x = 6.

The total number of brownies ordered are 6(Option E)

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Re: A certain bakery sells only cupcakes and brownies, and charges $5 for [#permalink]

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New post 11 Aug 2017, 16:53
Bunuel wrote:
A certain bakery sells only cupcakes and brownies, and charges $5 for each cupcake and $4 for each brownie. If Jeremy spent $34 purchasing 8 items at the bakery, how many brownies did he purchase?

A. 2
B. 3
C. 4
D. 5
E. 6


Average price per item =34/8 = $4.25

if there equal amount then average will be $4.5.....it means more brownies than cupcakes

Eliminate A, B & C

check choice D =5
3 *5 + 5 * 4 = 15 + 20 = 35 ...Not equal to amout earned by bakery. then one choice left

Answer: E

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Re: A certain bakery sells only cupcakes and brownies, and charges $5 for   [#permalink] 11 Aug 2017, 16:53
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A certain bakery sells only cupcakes and brownies, and charges $5 for

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