Question

Ally has 30 quarters. The ratio of her quarters to dimes is 2:3, and the ratio of her dimes to nickels is 5:3. How many nickels does Ally have?

A. 9
B. 12
C. 27
D. 45

Answer 1

27. Ratio is 5:3, 3 times 9 equalss 27.

Answer 2

Option C is the answer.

Explanation:

Let the quarters be q = 30

Let the dimes be d

Let the nickels be n

The ratio of her quarters to dimes is 2:3.

`(30)/(d) =(2)/(3)`

We will get d from here.

`2d=90`

d = 45

The ratio of her dimes to nickels is 5:3.

`(45)/(n) =(5)/(3)`

Now we will get nickels from here.

`5n=45*3`

`=> 5n=135`

n = 27

Hence, Ally has 27 nickels.