Question

Suzy has a collection of quarters and dimes. Together she has 44 coins worth $6.95. How many quarters and how many dimes does Suzy have?

Answer 1

X = quarters
y = dimes

0.25x + 0.10y = 6.95 or 25x + 10y = 695
x + y = 44

25x + 10y = 695
25 (x + y = 44)

25x + 10y = 695

25x + 25y = 1,100

-15y = -405
y = 27 dimes
and 17 quarters