Question

Mrs. Stephens has a bag of candy. The ratio of peppermints to chocolates is 5:3, and the ratio of peppermints to gummies is 3:4. What is the ratio of chocolates to gummies? Express your answer as a common fraction.

Answer 1

I'm pretty sure 9/20, not 100% though, a little sleepy.

Answer 2

how did you get that answer?

Answer 3

@taluvsdawgs
Let the number of peppermints be represented by p, the number of chocolates c, gummies g.

Given the ratios in the question, we know that:

p/c = 5/3

and

p/g = 3/4

We want to know what (c/g) is. Proceed using simple algebra:

p = (5/3) * c

p = (3/4) * g

Using a systems of equations "equal values" style approach, we get:

(5/3) * c = (3/4) * g

Then:

(5/3) * (c/g) = 3/4

Multiply by the reciprocal of 5/3 to isolate c/g:

c/g = (3/4) * (3/5)

c/g = 9/20

The ratio is 9:20, already in lowest terms.

Let me know if any of this is unclear.

Answer 4

it is clear thanks a lot