Nick had $120 less than Vaidev. If Vaidev spends $160 and Nick's mother gave Nick $880, Vaidev will have
15 as much money as Nick. How much money did Nick and Vaidev have?
| |
Make p the same
(1)x5 = (3) |
Nick
(1) |
Vaidev
(2) |
| Before |
5 u |
1 u |
1 u + 120 |
| Change |
- 800 |
- 160 |
+ 880 |
| After |
5 p |
1 p |
5 p |
Since Nick had $120 less than Vaidev, this means Vaidev had $120 more than Nick.
1 u - 160 = 1 p --- (1)
1 u + 120 + 880 = 5 p
1 u + 1000 =
5 p --- (2)
Make p the same.
(1)
x5
5 u - 800 =
5 p --- (3)
(3) = (2)
5 u - 800 = 1 u + 1000
5 u - 1 u = 1000 + 800
4 u = 1800
1 u = 1800 ÷ 4 = 450
Total amount that Nick and Vaidev had
= 1 u + 1 u + 120
= 2 u + 120
= 2 x 450 + 120
= 900 + 120
= $1020
Answer(s): $1020
