Glen had $130 less than Peter. If Peter spends $130 and Glen's mother gave Glen $940, Peter will have
16 as much money as Glen. How much money did Glen and Peter have?
| |
Make p the same
(1)x6 = (3) |
Glen
(1) |
Peter
(2) |
| Before |
6 u |
1 u |
1 u + 130 |
| Change |
- 780 |
- 130 |
+ 940 |
| After |
6 p |
1 p |
6 p |
Since Glen had $130 less than Peter, this means Peter had $130 more than Glen.
1 u - 130 = 1 p --- (1)
1 u + 130 + 940 = 6 p
1 u + 1070 =
6 p --- (2)
Make p the same.
(1)
x6
6 u - 780 =
6 p --- (3)
(3) = (2)
6 u - 780 = 1 u + 1070
6 u - 1 u = 1070 + 780
5 u = 1850
1 u = 1850 ÷ 5 = 370
Total amount that Glen and Peter had
= 1 u + 1 u + 130
= 2 u + 130
= 2 x 370 + 130
= 740 + 130
= $870
Answer(s): $870
