Rael had $200 less than Owen. If Owen spends $130 and Rael's mother gave Rael $550, Owen will have
15 as much money as Rael. How much money did Rael and Owen have?
| |
Make p the same
(1)x5 = (3) |
Rael
(1) |
Owen
(2) |
| Before |
5 u |
1 u |
1 u + 200 |
| Change |
- 650 |
- 130 |
+ 550 |
| After |
5 p |
1 p |
5 p |
Since Rael had $200 less than Owen, this means Owen had $200 more than Rael.
1 u - 130 = 1 p --- (1)
1 u + 200 + 550 = 5 p
1 u + 750 =
5 p --- (2)
Make p the same.
(1)
x5
5 u - 650 =
5 p --- (3)
(3) = (2)
5 u - 650 = 1 u + 750
5 u - 1 u = 750 + 650
4 u = 1400
1 u = 1400 ÷ 4 = 350
Total amount that Rael and Owen had
= 1 u + 1 u + 200
= 2 u + 200
= 2 x 350 + 200
= 700 + 200
= $900
Answer(s): $900
