Question

A recipe that makes 6 servings calls for 1/2 cup of butter. Nancy modifies the recipe so that it can serve 8.
A. 3/8
B. 2/3
C. 1 1/3
D. 3
D.
How many cups of butter does Nancy need?

Answer 1

@AriPotta

Answer 2

The original recipe has a ratio of 6 servings for a 1/2 cup of butter. If she's modifying the recipe to make 8 servings, the you have to find an equivalent ratio for 8.

6 : 1/2
8 : ___?

If you can find out how much you needed to multiply the 6 by to get 8, then all you have to do is multiply the 1/2 by the same number to get the new number of cups.

Answer 3

I still don't get it

Answer 4

Can you help me do it step-by-step?

Answer 5

idk, i'd use a proportion personally

Answer 6

\[\frac{ 6 }{ 0.5}=\frac{ 8 }{ x }\]

Answer 7

then cross-multiply to get 8(0.5) = 6x and solve for x

Answer 8

I'm still not understanding it completely

Answer 9

so i divide 6 and .5?

Answer 10

\[\frac{ amount\ of\ servings }{ amount\ of\ butter } \; \frac{ 6 }{ 0.5 }=\ \frac{ 8 }{ x }\]

Answer 11

8(0.5) = 6x
4 = 6x
x = 4/6

Answer 12

and then of course, 4/6 can be simplified to 2/3

Answer 13

i hope that made sense?

Answer 14

Yes it did Thank you!

Answer 15

no problemo :)

Answer 16

1/2 ÷ 6
= 1/2 ÷ 6/1
= (1 × 1) / (6 × 2)
= 1/12 per serving

1/12 x 8
= 1/12 × 8/1
= (1 × 8) / (12 × 1)
= 8/12
= 2/3

To divide fractions you have to flip the second fraction and then multiply. So it will
look like this 1/2 * 1/6 and you get 1/12 this is how much you need for 1 serving now
multiply that by 8 and you get 8/12 now simplify and you get 2/3 as your answer.