Zane had $120 less than David. If David spends $200 and Zane's mother gave Zane $880, David will have
15 as much money as Zane. How much money did Zane and David have?
| |
Make p the same
(1)x5 = (3) |
Zane
(1) |
David
(2) |
| Before |
5 u |
1 u |
1 u + 120 |
| Change |
- 1000 |
- 200 |
+ 880 |
| After |
5 p |
1 p |
5 p |
Since Zane had $120 less than David, this means David had $120 more than Zane.
1 u - 200 = 1 p --- (1)
1 u + 120 + 880 = 5 p
1 u + 1000 =
5 p --- (2)
Make p the same.
(1)
x5
5 u - 1000 =
5 p --- (3)
(3) = (2)
5 u - 1000 = 1 u + 1000
5 u - 1 u = 1000 + 1000
4 u = 2000
1 u = 2000 ÷ 4 = 500
Total amount that Zane and David had
= 1 u + 1 u + 120
= 2 u + 120
= 2 x 500 + 120
= 1000 + 120
= $1120
Answer(s): $1120
