Question

Devonte has a change jar that contains only dimes and nickels. He has 72 coins which add up to a total of $5.25. How many of each type of coin does he have?

Answer 1

Answer: There are 33 dimes and 39 nickles.

Step-by-step explanation:

Let the number of dimes be x

Since there are 72 coins ,

So, let the number of nickels be 72-x

As we know that the value of dimes = 10 cents

The value of nickles = 5 cents

So, According to question,

$10x+5(72-x)=5.25\times 100\\\\10x+360-5x=525\\\\5x+360=525\\\\5x=525-360\\\\5x=165\\\\x=\frac{165}{5}\\\\x=33$

So, the number of dimes is 33.

The number of nickles is 72-33=39

Hence, there are 33 dimes and 39 nickles.