Asher had $100 less than Tommy. If Tommy spends $120 and Asher's mother gave Asher $1130, Tommy will have
16 as much money as Asher. How much money did Asher and Tommy have?
| |
Make p the same
(1)x6 = (3) |
Asher
(1) |
Tommy
(2) |
| Before |
6 u |
1 u |
1 u + 100 |
| Change |
- 720 |
- 120 |
+ 1130 |
| After |
6 p |
1 p |
6 p |
Since Asher had $100 less than Tommy, this means Tommy had $100 more than Asher.
1 u - 120 = 1 p --- (1)
1 u + 100 + 1130 = 6 p
1 u + 1230 =
6 p --- (2)
Make p the same.
(1)
x6
6 u - 720 =
6 p --- (3)
(3) = (2)
6 u - 720 = 1 u + 1230
6 u - 1 u = 1230 + 720
5 u = 1950
1 u = 1950 ÷ 5 = 390
Total amount that Asher and Tommy had
= 1 u + 1 u + 100
= 2 u + 100
= 2 x 390 + 100
= 780 + 100
= $880
Answer(s): $880
