The twenty-six coins are all dollars and quarters, and they add up to seventeen dollars in value. How many dollars and how many quarters are there?

Question

The twenty-six coins are all dollars and quarters, and they add up to seventeen dollars in value. How many dollars and how many quarters are there?

Please Help in asap

Answer 1

x + y = 26, y = 26 - x

(.25)x + (1.00)y = 17.00

Substitute:

.25x + (26 - x)(1.00) = 17

.25x + 26 - x = 17

-.75x = -9

x = 12 quarters

y = 14 dollars