Ethan and Ken had $1578. Ethan spent
38 of his money on a computer. Ken spent
16 of his money on a home theater system. The computer cost $231 more than the home theater system. How much money did Ethan have at first?
| |
Ethan |
Ken |
Total |
Before |
8 u |
+ 616 |
6x3 =
18 u |
1578 |
Change |
- 3 u |
- 231 |
- 1x3 =
- 3 u |
|
Comparing the computer
and the home theater system |
231 more |
|
|
After |
5 u |
+ 385 |
5x3 =
15 u |
|
231 ÷ 3 = 77
5 x 77 = 385
8 x 77 = 616
Total amount that Ethan and Ken had at first
= 8 u + 616 + 18 u
= 26 u + 616
26 u + 616 = 1578
26 u = 1578 - 616
26 u = 962
1 u = 962 ÷ 26 = 37
Amount that Ethan had at first
= 8 u + 616
= 8 x 37 + 616
= 296 + 616
= $912
Answer(s): $912
