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Uncle Bruce is baking chocolate chip cookies. He has 36 ounces of doug

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Carcass
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Uncle Bruce is baking chocolate chip cookies. He has 36 ounces of doug [#permalink] New post   01 Feb 2021, 05:56
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Uncle Bruce is baking chocolate chip cookies. He has 36 ounces of dough (with no chocolate) and 15 ounces of chocolate. How much chocolate is left over if he uses all the dough but only wants the cookies to consist of 20% chocolate?

(A) 3
(B) 6
(C) 7.2
(D) 7.8
(E) 9

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Re: Uncle Bruce is baking chocolate chip cookies. He has 36 ounces of doug [#permalink] New post   01 Feb 2021, 06:40
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Carcass wrote:
Uncle Bruce is baking chocolate chip cookies. He has 36 ounces of dough (with no chocolate) and 15 ounces of chocolate. How much chocolate is left over if he uses all the dough but only wants the cookies to consist of 20% chocolate?

(A) 3
(B) 6
(C) 7.2
(D) 7.8
(E) 9

Kudos for the right answer and explanation


We can use equivalent ratios.

The cookies will consist of 20% chocolate.
In other words, the cookies will consist of 1/5 chocolate.
We can also say the cookies will consist of 4/5 dough.

This means the cookies are 4 parts dough and 1 part chocolate.
So, the dough to chocolate ratio = 4/1

We have 36 ounces of dough available.
Let c = the number of ounces of chocolate needed.

We now can use equivalent ratios to set up the equation: 4/1 = 36/c
Solve to get c = 9

So, we need to USE 9 ounces of chocolate, which leaves us with 6 ounces REMAINING.

Answer: B

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Uncle Bruce is baking chocolate chip cookies. He has 36 ounces of doug [#permalink] New post   01 Feb 2021, 10:08
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Hi,

If we have 20% chocolate, then it is 80% dough and we use all the dough.
Thus 80%=36
100%=x
Cross multiply we get x=45, which has 36 ounces of dough and 9 ounces of chocolate. Leaving us with 15-9=6 ounces of chocolate.

IMO B
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Re: Uncle Bruce is baking chocolate chip cookies. He has 36 ounces of doug [#permalink] New post   05 Jan 2024, 16:30
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If 20% of chocolate would be used, then 80% of dough would be used. And if 80% of dough = 36 ounces, then 20% of chocolate = x. Therefore, the full chocolate chip (100%) = 36/0.8 = x/0.2. Cross multiply to give x = 9. So if 20% of chocolate used to bake is 9 ounces, the remaining would be 15 - 9 = 6. Which is B
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Re: Uncle Bruce is baking chocolate chip cookies. He has 36 ounces of doug [#permalink]
05 Jan 2024, 16:30
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