Answer:
The maximum number of pounds of potato salad that Charlie can buy is 0.375
Step-by-step explanation:
see the attached figure to better understand the problem
Let
a ----> the cost of one tuna sandwich
b ----> the cost of a bottle of apple juice
c ----> the cost per pound of potato salad
x ----> pounds of potato salad
we have
[tex]a=\$4.25[/tex]
[tex]b=\$2.25[/tex]
[tex]c=\$4.00/lb[/tex]
we know that
He wants to buy a tuna sandwich, a bottle of apple juice, and x pounds of potato salad and can spend up to $8
The inequality that represent this situation is
[tex]a+b+cx \leq 8[/tex]
substitute the given values
[tex]4.25+2.25+4.00x \leq 8[/tex]
Solve for x
Combine like terms
[tex]6.50+4.00x \leq 8[/tex]
Subtract 6.50 both sides
[tex]4.00x \leq 8-6.50[/tex]
[tex]4.00x \leq 1.50[/tex]
Divide by 4 both sides
[tex]x \leq 1.50/4.00[/tex]
[tex]x \leq 0.375\ lbs[/tex]
therefore
The maximum number of pounds of potato salad that Charlie can buy is 0.375
