Answer:
[tex]y\leq -x+22[/tex]
[tex]y\geq -0.5x + 16[/tex]
(8,13)
8 nickels
13 dimes
Step-by-step explanation:
x = nickels
y = dimes
[tex]x+y\leq 22[/tex]
[tex]x+y\leq 22\\\\-x -x\\\\y\leq -x+22[/tex]
[tex]0.05x+0.10y\geq 1.60\\\\-0.05x -0.05x\\\\0.10y\geq -0.05x+1.60\\\\/0.10 /0.10\\\\y\geq -0.5x + 16[/tex]
(8,13)
8 nickels
13 dimes
Check your answer:
[tex]y\leq -x+22[/tex]
[tex]y\geq -0.5x + 16[/tex]
[tex]y\leq -x+22\\\\13\leq -8+22\\\\13\leq 14[/tex]
This statement is true
[tex]y\geq -0.5x + 16\\13\geq -0.5(8)+16\\13\geq -4+16\\13\geq 12[/tex]
This statement is true
Hope this helps!
