Word Problem Scavenger Hunt

15

• The number of passengers p and the number of suitcases s that an airplane can carry are related by the equation

180p + 60s = 3,000. If 12 people board the aircraft, how many suitcases can the airplane carry?

14

• The length of a rectangle is 10 units longer than its width. If the total perimeter of the rectangle is 44 units, what is the width?

W+10

w

6

• The linear equation n= 10t describes n, the number of origami boxes that Holly can fold in t hours. How many boxes can Holly fold in 3 hours?

30

• Paul charges people $25 to test the air quality in their homes. The device he uses to test air quality cost him $500. Write an equation that describes Paul’s net profit as a function of the number of clients he gets. How many clients does he need to break even?

20

• Suppose you invest $10,000 in equipment to manufacture a new board game. Each game costs $2.65 to manufacture and 

sells for $20. How many games must you make and sell before your business 

breaks even?

577

• A toy manufacturer company makes a doll that sells for $12. It costs $5 in labor to 

make each doll. The total cost for the 

materials is $420. How many dolls must 

they sell to break even?

60

• If the daily profit formula for a certain product is P = 7 q – 5600, where P is the profit in dollars and q is the number sold per day, how many units must be sold per day to break even?

800

• One telephone company charges $16.95 per month and $.05 per minute for local calls. Another company charges $22.95 per month and $.02 per minute for local calls. For what number of minutes of local calls per month is the cost of the plans the same?

200

• One health club charges a $44 sign-up fee and $30 per month. Another health club charges a $99 sign-up fee and $25 per month. For what number of months is the cost the same?

11

• You and a pilot friend decide to rent an airplane to do some sightseeing. One service charges $100 plus $80 per hour, while another charges $250 plus $70 per hour for the same airplane. At what number of hours is the cost the same?