Question

Wyatt has x nickels and y dimes. He has no more than 11 coins worth no less than $0.80 combined. Solve this system of inequalities graphically and determine one possible solution.

Answer 1

Explanation:

x+y≤11

y≤11-x

taking only equal signs

y=11-x

5x+10y≥80

divide by 5

x+2y≥16

taking equal signs

x+2y=16

x+2(11-x)=16

x+22-2x=16

-x=16-22=-6

x=6

y=11-x=11-6=5

nickels=6

dimes=5