Equation Word Problems

On Friday, you raked leaves for 4 neighbors, on Saturday you raked leaves for 5 neighbors, and on Sunday you raked leaves for 3 neighbors. Over the three days you earned a total of $135. If you were paid the same amount at each house, write an equation to determine how much you earned per house.

x = How much you were paid

• 4x + 5x + 3x = 135

• 4x + 5x = 3x + 135

• 4x(5x)(3x) = 135

Tickets to a fundraiser are $14 if purchased ahead of time and $25 if purchased at the door. The total amount raised from all ticket sales was $625. If eleven tickets were purchased at the door, how many tickets were purchased ahead of time?

x = number of tickets purchased ahead of time

• (14 + 25)11 = 625

• 14x + 25(11-x) = 625

• (14 + 25)x = 11

• (14 + 25)x = 625

Your school is having a fundraiser. You are selling candy bars that have been donated by the Hershey Company. You set a personal goal of raising $200 for your school and met that goal. You sold a total of 120 candy bars and one neighbor gave you a $20 donation without taking any candy bars. Write an equation to determine how much each candy bar sold for.

x = price of the candy bars

• 200 = 120 + 20x

• 200 = 120x + 20x

• 120x + 1x + 20 = 200

• 120x + 20 = 200

A window is 34 inches wide and its perimeter is 188 inches. Which equation will NOT determine the length of the window.

x = length of the window

• 2(34) + 2x = 188

• 34 + x = 188

• 2(34 + x) = 188

• 34 + x + 34 + x = 188

You have eleven coins, all in dimes and quarters. It is worth $1.70. Write an equation to determine how many dimes you have.

x = number of dimes

• .10x + .25(11-x)=1.70

• .10x + .25(x-11)= 1.70

• .10x + .25(11) = 1.70

• .10(11) + .25x = 1.70

A BMW leaves a location driving 70 mph. A Ford Mustang leaves the same location one hour later driving 90 mph. Write an equation to show when the Mustang catches up to the BMW.

x = hours the BMW drove

• 70x = 90

• 70 = 90x

• 70x = 90(x - 1)

• 70(x - 1) = 90x