Ivan and Gabriel had $1105. Ivan spent
25 of his money on a dishwasher. Gabriel spent
14 of his money on a home theater system. The dishwasher cost $234 more than the home theater system. How much money did Ivan have at first?
| |
Ivan |
Gabriel |
Total |
Before |
5 u |
+ 585 |
4x2 =
8 u |
1105 |
Change |
- 2 u |
- 234 |
- 1x2 =
- 2 u |
|
Comparing the dishwasher
and the home theater system |
234 more |
|
|
After |
3 u |
+ 351 |
3x2 =
6 u |
|
234 ÷ 2 = 117
3 x 117 = 351
5 x 117 = 585
Total amount that Ivan and Gabriel had at first
= 5 u + 585 + 8 u
= 13 u + 585
13 u + 585 = 1105
13 u = 1105 - 585
13 u = 520
1 u = 520 ÷ 13 = 40
Amount that Ivan had at first
= 5 u + 585
= 5 x 40 + 585
= 200 + 585
= $785
Answer(s): $785
