Nick had $100 less than Japheth. If Japheth spends $130 and Nick's mother gave Nick $530, Japheth will have
15 as much money as Nick. How much money did Nick and Japheth have?
| |
Make p the same
(1)x5 = (3) |
Nick
(1) |
Japheth
(2) |
| Before |
5 u |
1 u |
1 u + 100 |
| Change |
- 650 |
- 130 |
+ 530 |
| After |
5 p |
1 p |
5 p |
Since Nick had $100 less than Japheth, this means Japheth had $100 more than Nick.
1 u - 130 = 1 p --- (1)
1 u + 100 + 530 = 5 p
1 u + 630 =
5 p --- (2)
Make p the same.
(1)
x5
5 u - 650 =
5 p --- (3)
(3) = (2)
5 u - 650 = 1 u + 630
5 u - 1 u = 630 + 650
4 u = 1280
1 u = 1280 ÷ 4 = 320
Total amount that Nick and Japheth had
= 1 u + 1 u + 100
= 2 u + 100
= 2 x 320 + 100
= 640 + 100
= $740
Answer(s): $740
