David and Bryan had $1294. David spent
25 of his money on a portable air-conditioner. Bryan spent
16 of his money on a home theater system. The portable air-conditioner cost $300 more than the home theater system. How much money did David have at first?
|
David |
Bryan |
Total |
Before |
5 u |
+ 750 |
6x2 = 12 u |
1294 |
Change |
- 2 u |
- 300 |
- 1x2 = - 2 u |
|
Comparing the portable air-conditioner and the home theater system |
300 more |
|
|
After |
3 u |
+ 450 |
5x2 = 10 u |
|
300 ÷ 2 = 150
3 x 150 = 450
5 x 150 = 750
Total amount that David and Bryan had at first
= 5 u + 750 + 12 u
= 17 u + 750
17 u + 750 = 1294
17 u = 1294 - 750
17 u = 544
1 u = 544 ÷ 17 = 32
Amount that David had at first
= 5 u + 750
= 5 x 32 + 750
= 160 + 750
= $910
Answer(s): $910