Will had $130 less than Sam. If Sam spends $160 and Will's mother gave Will $210, Sam will have
16 as much money as Will. How much money did Will and Sam have?
| |
Make p the same
(1)x6 = (3) |
Will
(1) |
Sam
(2) |
| Before |
6 u |
1 u |
1 u + 130 |
| Change |
- 960 |
- 160 |
+ 210 |
| After |
6 p |
1 p |
6 p |
Since Will had $130 less than Sam, this means Sam had $130 more than Will.
1 u - 160 = 1 p --- (1)
1 u + 130 + 210 = 6 p
1 u + 340 =
6 p --- (2)
Make p the same.
(1)
x6
6 u - 960 =
6 p --- (3)
(3) = (2)
6 u - 960 = 1 u + 340
6 u - 1 u = 340 + 960
5 u = 1300
1 u = 1300 ÷ 5 = 260
Total amount that Will and Sam had
= 1 u + 1 u + 130
= 2 u + 130
= 2 x 260 + 130
= 520 + 130
= $650
Answer(s): $650
