Reggie had $130 less than Tim. If Tim spends $70 and Reggie's mother gave Reggie $1000, Tim will have
15 as much money as Reggie. How much money did Reggie and Tim have?
| |
Make p the same
(1)x5 = (3) |
Reggie
(1) |
Tim
(2) |
| Before |
5 u |
1 u |
1 u + 130 |
| Change |
- 350 |
- 70 |
+ 1000 |
| After |
5 p |
1 p |
5 p |
Since Reggie had $130 less than Tim, this means Tim had $130 more than Reggie.
1 u - 70 = 1 p --- (1)
1 u + 130 + 1000 = 5 p
1 u + 1130 =
5 p --- (2)
Make p the same.
(1)
x5
5 u - 350 =
5 p --- (3)
(3) = (2)
5 u - 350 = 1 u + 1130
5 u - 1 u = 1130 + 350
4 u = 1480
1 u = 1480 ÷ 4 = 370
Total amount that Reggie and Tim had
= 1 u + 1 u + 130
= 2 u + 130
= 2 x 370 + 130
= 740 + 130
= $870
Answer(s): $870
