Reggie had $110 less than Fred. If Fred spends $170 and Reggie's mother gave Reggie $530, Fred will have
14 as much money as Reggie. How much money did Reggie and Fred have?
| |
Make p the same
(1)x4 = (3) |
Reggie
(1) |
Fred
(2) |
| Before |
4 u |
1 u |
1 u + 110 |
| Change |
- 680 |
- 170 |
+ 530 |
| After |
4 p |
1 p |
4 p |
Since Reggie had $110 less than Fred, this means Fred had $110 more than Reggie.
1 u - 170 = 1 p --- (1)
1 u + 110 + 530 = 4 p
1 u + 640 =
4 p --- (2)
Make p the same.
(1)
x4
4 u - 680 =
4 p --- (3)
(3) = (2)
4 u - 680 = 1 u + 640
4 u - 1 u = 640 + 680
3 u = 1320
1 u = 1320 ÷ 3 = 440
Total amount that Reggie and Fred had
= 1 u + 1 u + 110
= 2 u + 110
= 2 x 440 + 110
= 880 + 110
= $990
Answer(s): $990
