Question

1. Jamie purchases gifts for three friends. She chooses a book for $12.80 and then finds two identical necklaces. Her budget is $48 before tax. What is the maximum she can spend on each necklace?
2. The school PTA is sponsoring a dance. They decide to price student tickets at $6. It will cost the PTA $250 to put on the dance. How many tickets will the PTA need to sell in order to make a profit?


3. A wedding venue holds no more than 485 guests. If 319 people have said they are attending, how many more people does the venue have room for?


4. A conference is ordering gift bags for each attendee. The cost will be $14.50 per bag plus an $80 set-up fee. If the total exceeds $500 there is a discount. How many gift bags must the conference order to receive the discount? Write and solve an inequality.



5. A taxi cab charges $3 per person plus $1.25 per mile. What is the greatest distance one passenger could travel with a budget of $28? Write and solve an inequality.


6. A 15-passenger van is rented for a family vacation. The van rental is 460 per day, plus a $145 insurance fee. How many days can the van be rented if they want to spend no more than $625 on the van rental. Write and solve an inequality.

Answer 1

Step-by-step explanation:

1.

• (48 - 12.80)/2 = $17.6

2.

• 250/6 ≈ 42 and more

3.

• 485 - 319 = 166 more people

4.

• 14.5x + 80 > 500
• 14.5x > 420
• x > 420/14.5
• x > 29

5.

• 1.25x + 3 ≤ 28
• 1.25x ≤ 25
• x ≤ 25/1.25
• x ≤ 20 miles

6.  This seems a typo... 460 is likely $60

• 60x + 145 ≤ 625
• 60x ≤ 625 - 145
• 60x ≤ 480
• x ≤ 480/60
• x ≤ 8 days