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2 months ago

6. Charlie can spend up to $8 on lunch. He wants to buy a tuna sandwich, a bottle of

Mathematics

1 answer:

PIT_PIT [12.4K]2 months ago

3 0

Response:

Charlie can purchase a maximum of 0.375 pounds of potato salad

Detailed explanation:

Refer to the figure provided for improved clarity on the issue

Let

a ----> the price of one tuna sandwich

b ----> the price of a bottle of apple juice

c ----> the cost per pound of potato salad

x ----> pounds of potato salad

we have

$a=\$4.25$

$b=\$2.25$

$c=\$4.00/lb$

he intends to buy a tuna sandwich, a bottle of apple juice, and x pounds of potato salad, and his spending limit is $8

The corresponding inequality for this scenario is

$a+b+cx \leq 8$

substituting the known values

$4.25+2.25+4.00x \leq 8$

Solving for x

Combine similar terms

$6.50+4.00x \leq 8$

Decrease 6.50 from both sides

$4.00x \leq 8-6.50$

$4.00x \leq 1.50$

Divide both sides by 4

$x \leq 1.50/4.00$

$x \leq 0.375\ lbs$

thus

Charlie can acquire a maximum of 0.375 pounds of potato salad

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