Fabian had $170 less than Rael. If Rael spends $200 and Fabian's mother gave Fabian $630, Rael will have
15 as much money as Fabian. How much money did Fabian and Rael have?
| |
Make p the same
(1)x5 = (3) |
Fabian
(1) |
Rael
(2) |
| Before |
5 u |
1 u |
1 u + 170 |
| Change |
- 1000 |
- 200 |
+ 630 |
| After |
5 p |
1 p |
5 p |
Since Fabian had $170 less than Rael, this means Rael had $170 more than Fabian.
1 u - 200 = 1 p --- (1)
1 u + 170 + 630 = 5 p
1 u + 800 =
5 p --- (2)
Make p the same.
(1)
x5
5 u - 1000 =
5 p --- (3)
(3) = (2)
5 u - 1000 = 1 u + 800
5 u - 1 u = 800 + 1000
4 u = 1800
1 u = 1800 ÷ 4 = 450
Total amount that Fabian and Rael had
= 1 u + 1 u + 170
= 2 u + 170
= 2 x 450 + 170
= 900 + 170
= $1070
Answer(s): $1070
