Question

Marisa earns $7.50 an hour working at Panera. She wants to earn at least $250 to purchase 4 concert tickets. The cost of each ticket is $75 plus a $12.95 convenience fee per ticket. Is $250 enough to cover the cost of 4 tickets? If not, how many more hours does she need to work to cover the difference? No, she would need to work an additional 14 hours to purchase 4 concert tickets. No, she would need to work an additional 34 hours to purchase 4 concert tickets. No, she would need to work an additional 47 hours to purchase 4 concert tickets. Yes, $250 is enough to purchase 4 concert tickets.

Answer 1

Part 1)
`\$250` is not enough to cover the cost of 4 tickets

Part 2) She would need to work an additional 14 hours to purchase 4 concert tickets

therefore

No, she would need to work an additional 14 hours to purchase 4 concert tickets

Explanation:

step 1

Find the cost of 4 tickets

`4*(75+12.95)=\$351.80`

so

`\$351.80> \$250`

therefore

`\$250` is not enough to cover the cost of 4 tickets

step 2

Find the number of hours needed to work to cover the difference

The difference is equal to

`\$351.80-\$250=\$101.80`

Let

x-----> the number of hours needed to work to cover the difference

The inequality that represent the situation is

`7.50x \geq 101.50`

`x \geq 101.50/7.50`

`x \geq 13.5\ hours`

The minimum number of hours is 14