Vaidev had $160 less than Japheth. If Japheth spends $200 and Vaidev's mother gave Vaidev $150, Japheth will have
14 as much money as Vaidev. How much money did Vaidev and Japheth have?
| |
Make p the same
(1)x4 = (3) |
Vaidev
(1) |
Japheth
(2) |
| Before |
4 u |
1 u |
1 u + 160 |
| Change |
- 800 |
- 200 |
+ 150 |
| After |
4 p |
1 p |
4 p |
Since Vaidev had $160 less than Japheth, this means Japheth had $160 more than Vaidev.
1 u - 200 = 1 p --- (1)
1 u + 160 + 150 = 4 p
1 u + 310 =
4 p --- (2)
Make p the same.
(1)
x4
4 u - 800 =
4 p --- (3)
(3) = (2)
4 u - 800 = 1 u + 310
4 u - 1 u = 310 + 800
3 u = 1110
1 u = 1110 ÷ 3 = 370
Total amount that Vaidev and Japheth had
= 1 u + 1 u + 160
= 2 u + 160
= 2 x 370 + 160
= 740 + 160
= $900
Answer(s): $900
