Question

Please help with explanation

1/3 of Cheryl’s savings was the same as 3/4 of Hilda’s savings.Cheryl saved $36.

(a) Find the ratio of Cheryl’s savings to Hilda’s savings.

(b) How much did Hilda save?

Answer 1

a) the ratio is 9:4

b) Hilda did save $16.

Explanation:

Let's define the variables:

C = Cheryl's savings.

H = Hilda's savings.

We know that:

(1/3)*C = (3/4)*H

We also know that Cheryl saved $36, then we have:

C = $36

Now we can replace that in the above equation to get:

(1/3)*$36 = (3/4)*H

$12 = (3/4)*H

$12*(4/3) = H = $16

Then Hilda did save $16.

And the ratio between of Cheryl's savings to Hilda's savings is:

36 : 16

We can simplify this if we divide both by 2.

(36/2) : 16/2

18 : 8

Again, we can divide both by 2:

(18/2) : (8/2)

9 : 4

Then the ratio is 9 : 4