Candela has $5.60 in quarters and dimes in her pocket. If there are 35 coins total, how many of each does she have?

Answer 1

quarter= 25 cents = 1/4 of a dollar

dime= 10 cents= 1/10 of a dollar

total of $5.60 = 35 coins

x- number of quarters

y- number of dimes

1/4x + 1/10 y = 5.60 multiply by 20

x+y = 35

5x+2y=112

x+y=35 ⇒ x=35-y and plug it in the first equation instead of x

5(35-y)+2y=112

175-5y+2y=112

-3y=-63 divide by (-3)

y=21

plug y back into the x=35-y

and get x=35-21

x=14

So, number of quarters is 14, and number of dimes is 21.