Henry had $200 less than Luke. If Luke spends $90 and Henry's mother gave Henry $1160, Luke will have
16 as much money as Henry. How much money did Henry and Luke have?
| |
Make p the same
(1)x6 = (3) |
Henry
(1) |
Luke
(2) |
| Before |
6 u |
1 u |
1 u + 200 |
| Change |
- 540 |
- 90 |
+ 1160 |
| After |
6 p |
1 p |
6 p |
Since Henry had $200 less than Luke, this means Luke had $200 more than Henry.
1 u - 90 = 1 p --- (1)
1 u + 200 + 1160 = 6 p
1 u + 1360 =
6 p --- (2)
Make p the same.
(1)
x6
6 u - 540 =
6 p --- (3)
(3) = (2)
6 u - 540 = 1 u + 1360
6 u - 1 u = 1360 + 540
5 u = 1900
1 u = 1900 ÷ 5 = 380
Total amount that Henry and Luke had
= 1 u + 1 u + 200
= 2 u + 200
= 2 x 380 + 200
= 760 + 200
= $960
Answer(s): $960
