Inequality Word Problems LEVEL 2

Inequality Word Problems – LEVEL 3

1) The length of a rectangle is 5 times its width. The perimeter of the rectangle is at most 108 meters. Find the greatest possible dimensions of this rectangle.

2) A club can buy ready-made shirts for $14.50 each. Alternately, it can buy plain T-shirts for $6.50 each, fabric paint for $35.70, and a pack of stencils for $8.50. For how many shirts is stenciling plain T-shirts cheaper than buying ready-made shirts?

3) Members of the band boosters are planning to sell programs at football games. The cost to print the programs is $150 plus $0.50 per program. They plan to sell each program for $2. How many programs must they sell to make a profit of at least $500?

4) The cost per month of making n number of wooden toys is C = 3n + 30 . The income from selling n toys is I = 6n . How many toys must the company make to get a profit (I > C) ?

5) Al earns $5.95 per hour working after school. He needs at least $215 for his holiday shopping. How many hours must he work to reach his goal?

6) An electronics store sells DVD players and cordless telephones. The store makes a $75 profit on the sale of each DVD player (d) and a $30 profit on the sale of each cordless telephone (c). The store wants to make a profit of at least $255.00 from its sales of DVD players and cordless phones. Which inequality describes this situation?

(1) 75d  30c  255 (3) 75d  30c  255 (2) 75d  30c  255 (4) 75d  30c  255

7) You rent a car and are offered 2 payment options. You can pay $25 per day plus $0.15 per mile (option A) or you can pay $10 per day plus $0.40 per mile (option B). For what amount of daily miles will option A be the cheaper plan?