Answer:
Aiden has 25 nickels and 38 quarters
Step-by-step 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
[tex]x+y=63[/tex]
x nickels are worth [tex]5x[/tex] cents, y quarters are worth [tex]25y[/tex] cents. If the total value of the coins is $10.75, then
[tex]5x+25y=1,075[/tex]
From the first equation:
[tex]x=63-y[/tex]
Substitute it into the second equation:
[tex]5(63-y)+25y=1,075\\ \\315-5y+25y=1,075\\ \\20y=1,075-315\\ \\20y=760\\ \\y=38\\ \\x=63-38=25[/tex]
