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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

Respuesta :

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

Answer:

Option C is the answer.

Step-by-step 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.

[tex]\frac{30}{d} =\frac{2}{3}[/tex]

We will get d from here.

[tex]2d=90[/tex]

d = 45

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

[tex]\frac{45}{n} =\frac{5}{3}[/tex]

Now we will get nickels from here.

[tex]5n=45\times3[/tex]

[tex]=> 5n=135[/tex]

n = 27

Hence, Ally has 27 nickels.