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Oduvanchick [21]
3 years ago
10

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

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
3 0

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

a=\$4.25

b=\$2.25

c=\$4.00/lb

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

a+b+cx \leq 8

substitute the given values

4.25+2.25+4.00x \leq 8

Solve for x

Combine like terms

6.50+4.00x \leq 8

Subtract 6.50 both sides

4.00x \leq 8-6.50

4.00x \leq 1.50

Divide by 4 both sides

x \leq 1.50/4.00

x \leq 0.375\ lbs

therefore

The maximum number of pounds of potato salad that Charlie can buy is 0.375

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