Sam had $180 less than Nick. If Nick spends $140 and Sam's mother gave Sam $260, Nick will have
13 as much money as Sam. How much money did Sam and Nick have?
| |
Make p the same
(1)x3 = (3) |
Sam
(1) |
Nick
(2) |
| Before |
3 u |
1 u |
1 u + 180 |
| Change |
- 420 |
- 140 |
+ 260 |
| After |
3 p |
1 p |
3 p |
Since Sam had $180 less than Nick, this means Nick had $180 more than Sam.
1 u - 140 = 1 p --- (1)
1 u + 180 + 260 = 3 p
1 u + 440 =
3 p --- (2)
Make p the same.
(1)
x3
3 u - 420 =
3 p --- (3)
(3) = (2)
3 u - 420 = 1 u + 440
3 u - 1 u = 440 + 420
2 u = 860
1 u = 860 ÷ 2 = 430
Total amount that Sam and Nick had
= 1 u + 1 u + 180
= 2 u + 180
= 2 x 430 + 180
= 860 + 180
= $1040
Answer(s): $1040
