Question

Aiden has a collection of 63 nickels and quarters in his piggy bank. If the total value of the coins is $10.75, how many nickels does he have?Please answer the question and show wok!

Answer 1

Aiden has 25 nickels and 38 quarters

Explanation:

Let x be the number of nickels and y be the number of quarters in Aiden's piggy bank.

Aiden has a collection of 63 nickels and quarters, so

`x+y=63`

x nickels are worth
`5x` cents, y quarters are worth
`25y` cents. If the total value of the coins is $10.75, then

`5x+25y=1,075`

From the first equation:

`x=63-y`

Substitute it into the second equation:

`5(63-y)+25y=1,075\\ \\315-5y+25y=1,075\\ \\20y=1,075-315\\ \\20y=760\\ \\y=38\\ \\x=63-38=25`