Answer:
166 quarters, 40 dimes
Step-by-step explanation:
x - quarters
y - dimes
x + y = 206
0.25x + 0.10y = 45.50
y = 206 - x
0.25x + 0.10(206 - x) = 45.50
0.25x + 20.6 - 0.10x = 45.50
0.15x = 45.50 - 20.6
0.15 x = 24.9
x = 24.9/ 0.15 = 166 quarters
y =206 - 166 = 40 dimes
Check:
0.25*166+ 0.10*40 = 45.50
45.50 = 45.50
