Simon had $140 less than Sam. If Sam spends $140 and Simon's mother gave Simon $280, Sam will have
15 as much money as Simon. How much money did Simon and Sam have?
| |
Make p the same
(1)x5 = (3) |
Simon
(1) |
Sam
(2) |
| Before |
5 u |
1 u |
1 u + 140 |
| Change |
- 700 |
- 140 |
+ 280 |
| After |
5 p |
1 p |
5 p |
Since Simon had $140 less than Sam, this means Sam had $140 more than Simon.
1 u - 140 = 1 p --- (1)
1 u + 140 + 280 = 5 p
1 u + 420 =
5 p --- (2)
Make p the same.
(1)
x5
5 u - 700 =
5 p --- (3)
(3) = (2)
5 u - 700 = 1 u + 420
5 u - 1 u = 420 + 700
4 u = 1120
1 u = 1120 ÷ 4 = 280
Total amount that Simon and Sam had
= 1 u + 1 u + 140
= 2 u + 140
= 2 x 280 + 140
= 560 + 140
= $700
Answer(s): $700
