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Brut [27]
3 years ago
15

2 Justin has $110 to spend at the mall. He wants to buy a hat that costs $25 and a pair

Mathematics
1 answer:
Sonbull [250]3 years ago
8 0

Answer:

Option B If Justin buys the hat and the jeans, solving the inequality 12x+65\leq 110 for x, will tell him the maximum number of bags of socks he can buy

Option D. If Justin buys the hat, jeans, and the maximum number of bags of socks, he will  have enough money left to buy a belt that is on sale for $7.99

Step-by-step explanation:

Let

x ----> the number of bags of socks

we know that

The number of bags of socks that Justin can buy multiplied by it cost, plus the cost of the hat plus the cost of a pair of jeans, must be at most $110

so

The inequality that represent this situation is

12x+25+40\leq 110

solve for x

Combine like terms left side

12x+65\leq 110

subtract 65 both sides

12x\leq 45

Divide by 12 both sides

x\leq 3.75

The maximum number of bags of socks is 3

If Justin buys the hat but not the jeans, then the inequality that represent this situation is

12x+25\leq 110

<u><em>Verify each statement</em></u>

case A) If x is the number of bags of socks Justin can buy, then the inequality  representing this situation is x < 3

The statement is false

The inequality that represent this situation is x\leq 3.75

The maximum number of bags of socks is 3

case B) If Justin buys the hat and the jeans, solving the inequality 12x+65\leq 110 for x, will tell him the maximum number of bags of socks he can buy

The statement is true

see the explanation

case C) If Justin buys the hat but not the jeans, solving the inequality 12x+40\leq 110  for x will tell him the maximum number of bags of socks he can buy

The statement is false

Because the inequality will be 12x+25\leq 110

case D) If Justin buys the hat, jeans, and the maximum number of bags of socks, he will  have enough money left to buy a belt that is on sale for $7.99

The statement is true

Because

The total cost is

12(3)+25+40=\$101

The amount of money left is \$110-\$101=\$9

\$9 > \$7.99

therefore

If Justin buys the hat, jeans, and the maximum number of bags of socks, he will  have enough money left to buy a belt

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