Translating Problems Into Equations

Name:______Date:______Period:______

Section 1-6

Translating Problems into Equations

Translate each problem into an equation. Solve the equation and answer the question.

1. Shelley has $10 more than Michele. Together they have $50. How much does each have?

2. Bart has twice as much as Elmer. Together they have $75. How much money does each have?

3. Sandy sold four more cars than Michael. Together they sold 14 cars. How many cars did each sell?

4. Joseph worked 8 h less than Lois. Together they worked 72 h. How many hours did each work?

5. Gloria spent $2 more for dinner than Lucy. Together they spent $26. How much did each spend?

6. Nancy jogged 3 mi less than Pat. Together they jogged 7 mi. How far did each jog?

7. Ray has three times as many DVD’s as Mia. Together they have 20 DVD’s. How many DVD’s does each have?

**Sometimes it is helpful to ______!

8. A 25 ft piece of cable is cut into two pieces. One piece is 5 ft longer than the other. What are the lengths of the pieces?

9. Kim walked twice as far as Paula. The sum of the distances they walked is 12 km. How far did each walk?

10. Miguel drove 20 km more than Jorge. Miguel drove three times as far as Jorge. How far did each drive?

11. A 16 ft piece of wood is cut into 2 pieces. One piece is 4 ft shorter than the other. How long is each piece?

More Examples:

12. Tina, Dawn, and Harry have $175 together. Tina has three times as much money as Dawn. Dawn has twice as much money as Harry. How much money does each have?

13. The perimeter of a rectangle is 36 cm. The length is twice as long as the width. Find the length and width of the rectangle.

14. The length of a rectangle is one unit more than its width. If the perimeter is 34 in, find the length and width of the rectangle.