Jenson had $180 less than Ahmad. If Ahmad spends $200 and Jenson's mother gave Jenson $200, Ahmad will have
13 as much money as Jenson. How much money did Jenson and Ahmad have?
| |
Make p the same
(1)x3 = (3) |
Jenson
(1) |
Ahmad
(2) |
| Before |
3 u |
1 u |
1 u + 180 |
| Change |
- 600 |
- 200 |
+ 200 |
| After |
3 p |
1 p |
3 p |
Since Jenson had $180 less than Ahmad, this means Ahmad had $180 more than Jenson.
1 u - 200 = 1 p --- (1)
1 u + 180 + 200 = 3 p
1 u + 380 =
3 p --- (2)
Make p the same.
(1)
x3
3 u - 600 =
3 p --- (3)
(3) = (2)
3 u - 600 = 1 u + 380
3 u - 1 u = 380 + 600
2 u = 980
1 u = 980 ÷ 2 = 490
Total amount that Jenson and Ahmad had
= 1 u + 1 u + 180
= 2 u + 180
= 2 x 490 + 180
= 980 + 180
= $1160
Answer(s): $1160
