Henry had $160 less than Japheth. If Japheth spends $180 and Henry's mother gave Henry $860, Japheth will have
16 as much money as Henry. How much money did Henry and Japheth have?
| |
Make p the same
(1)x6 = (3) |
Henry
(1) |
Japheth
(2) |
| Before |
6 u |
1 u |
1 u + 160 |
| Change |
- 1080 |
- 180 |
+ 860 |
| After |
6 p |
1 p |
6 p |
Since Henry had $160 less than Japheth, this means Japheth had $160 more than Henry.
1 u - 180 = 1 p --- (1)
1 u + 160 + 860 = 6 p
1 u + 1020 =
6 p --- (2)
Make p the same.
(1)
x6
6 u - 1080 =
6 p --- (3)
(3) = (2)
6 u - 1080 = 1 u + 1020
6 u - 1 u = 1020 + 1080
5 u = 2100
1 u = 2100 ÷ 5 = 420
Total amount that Henry and Japheth had
= 1 u + 1 u + 160
= 2 u + 160
= 2 x 420 + 160
= 840 + 160
= $1000
Answer(s): $1000
