Tommy had $170 less than Brandon. If Brandon spends $80 and Tommy's mother gave Tommy $300, Brandon will have
16 as much money as Tommy. How much money did Tommy and Brandon have?
| |
Make p the same
(1)x6 = (3) |
Tommy
(1) |
Brandon
(2) |
| Before |
6 u |
1 u |
1 u + 170 |
| Change |
- 480 |
- 80 |
+ 300 |
| After |
6 p |
1 p |
6 p |
Since Tommy had $170 less than Brandon, this means Brandon had $170 more than Tommy.
1 u - 80 = 1 p --- (1)
1 u + 170 + 300 = 6 p
1 u + 470 =
6 p --- (2)
Make p the same.
(1)
x6
6 u - 480 =
6 p --- (3)
(3) = (2)
6 u - 480 = 1 u + 470
6 u - 1 u = 470 + 480
5 u = 950
1 u = 950 ÷ 5 = 190
Total amount that Tommy and Brandon had
= 1 u + 1 u + 170
= 2 u + 170
= 2 x 190 + 170
= 380 + 170
= $550
Answer(s): $550
