Algebra Word Problems

1

100

The perimeter of a triangle is 48 inches. The second side is four inches longer than the first side. The third side is 5 inches longer than the first side. Find the length of each side.

13 17 18

200

Erin is looking for a new job. During her interviews, Company A says pay is determined by the equation y = 4x – 13, which x is the number of hours worked. Company B says their pay is determined by y = 3x – 10. Which company should Erin choose if she can only work ten hours?

Place A

300

Erin is looking for a new job. During her interviews, Company A says pay is determined by the equation y = 4x – 13, which x is the number of hours worked. Company B says their pay is determined by y = 3x +25. Which company should Erin choose if she can only work 25 hours?

Place B

2

100

Lena and Jodie are sisters, and together they have 56 bottles of nail polish. Lena bought 4 more than half the bottles. How many did Jodie buy?

24

200

Deanna is four more than three times older than Ted. The sum of their ages is 60. How old is Ted?

14

300

Joe and Craig,  have a combined weight of 326 pounds. Craig weighs 46 pounds more than Joe. How many pounds Craig weigh?

 186

400

there was a total of $10 in quarters and dimes. The amount of quarters were 4 less than twice the number of dimes. If there were x dimes, write an equation to represent the situation

.10x+.25(2x-4)=10

3

100

Mariam and Saloma are twins and their sister Rahana is 2 years older than them. The total of their ages is 32 years. What are the ages of the three girls?

10, 10, 12

4

100

Cameron sold hot dogs. He sold a total of 25 items for $45. A hot dog sold for 2.25 and a soda for 1.50

x is the number of hot dogs and y is the number of sodas, write a system to model this situation

x+y=25

2.25x+1.50y=45

200

The cinema sold 150 tickets to children and adults.

A child ticket costs 7.75 and an adult ticket costs 10.25.

The cinema made $1470 profit.

If a is the number of adult tickets sold and c is the number of child tickets sold, write a system of equations to represent the situation

a + c = 150

10.25a + 7.75c = 1470

300

Alex had $1.70 in nickels and dimes on his desk. There were 25 coins in all. 

Write a system that could be used to determine the number of nickels,n, and the number of dimes,d, that were on the desk

n + d= 25

.05n + .10d = 1.70

400

Acme athletics purchased 30 pairs of running pants and 10 shirts in January for a total of 3700

In March, they bought 15 pairs of running pants and 20 shirts for 3575.

If x represents the cost of one pair of pants and y represents the cost of one shirt, write a system to model the situation

30x+10y=3700

15x+20y=3575

500

Anna spends $30 on balloons and hats for a party

Balloons cost $2 and party hats cost 1.50

The number of hats is twice the number of balloons

x represents balloons and y represents hats , write a system to model the situation

2x+1.50y=30

y=2x

5

100

Three consecutive integers have a sum of 54. Find the integers.

17 18 19

200

One number is 8 more than the other number. Twice the smaller number is 7 more than the larger number. What are the numbers?

15 23

300

Jim takes great pride in decorating his float for the homecoming parade for his high school. With the $5,000 he has to spend, Jim buys 5,000 carnations at $0.30 each, 4,000 tulips at $0.60 each, and 300 irises at $0.25 each. Write an inequality which describes how many roses r, Jim can buy if roses cost $0.80 each.

r <= 1281.25

500

Find two consecutive odd numbers whose sum is forty-five.

21 and 23