Charlie had $170 less than Simon. If Simon spends $130 and Charlie's mother gave Charlie $60, Simon will have
14 as much money as Charlie. How much money did Charlie and Simon have?
| |
Make p the same
(1)x4 = (3) |
Charlie
(1) |
Simon
(2) |
| Before |
4 u |
1 u |
1 u + 170 |
| Change |
- 520 |
- 130 |
+ 60 |
| After |
4 p |
1 p |
4 p |
Since Charlie had $170 less than Simon, this means Simon had $170 more than Charlie.
1 u - 130 = 1 p --- (1)
1 u + 170 + 60 = 4 p
1 u + 230 =
4 p --- (2)
Make p the same.
(1)
x4
4 u - 520 =
4 p --- (3)
(3) = (2)
4 u - 520 = 1 u + 230
4 u - 1 u = 230 + 520
3 u = 750
1 u = 750 ÷ 3 = 250
Total amount that Charlie and Simon had
= 1 u + 1 u + 170
= 2 u + 170
= 2 x 250 + 170
= 500 + 170
= $670
Answer(s): $670
