Lee had $160 less than Tom. If Tom spends $90 and Lee's mother gave Lee $950, Tom will have
16 as much money as Lee. How much money did Lee and Tom have?
| |
Make p the same
(1)x6 = (3) |
Lee
(1) |
Tom
(2) |
| Before |
6 u |
1 u |
1 u + 160 |
| Change |
- 540 |
- 90 |
+ 950 |
| After |
6 p |
1 p |
6 p |
Since Lee had $160 less than Tom, this means Tom had $160 more than Lee.
1 u - 90 = 1 p --- (1)
1 u + 160 + 950 = 6 p
1 u + 1110 =
6 p --- (2)
Make p the same.
(1)
x6
6 u - 540 =
6 p --- (3)
(3) = (2)
6 u - 540 = 1 u + 1110
6 u - 1 u = 1110 + 540
5 u = 1650
1 u = 1650 ÷ 5 = 330
Total amount that Lee and Tom had
= 1 u + 1 u + 160
= 2 u + 160
= 2 x 330 + 160
= 660 + 160
= $820
Answer(s): $820
