Brandon had $100 less than Jenson. If Jenson spends $110 and Brandon's mother gave Brandon $130, Jenson will have
13 as much money as Brandon. How much money did Brandon and Jenson have?
| |
Make p the same
(1)x3 = (3) |
Brandon
(1) |
Jenson
(2) |
| Before |
3 u |
1 u |
1 u + 100 |
| Change |
- 330 |
- 110 |
+ 130 |
| After |
3 p |
1 p |
3 p |
Since Brandon had $100 less than Jenson, this means Jenson had $100 more than Brandon.
1 u - 110 = 1 p --- (1)
1 u + 100 + 130 = 3 p
1 u + 230 =
3 p --- (2)
Make p the same.
(1)
x3
3 u - 330 =
3 p --- (3)
(3) = (2)
3 u - 330 = 1 u + 230
3 u - 1 u = 230 + 330
2 u = 560
1 u = 560 ÷ 2 = 280
Total amount that Brandon and Jenson had
= 1 u + 1 u + 100
= 2 u + 100
= 2 x 280 + 100
= 560 + 100
= $660
Answer(s): $660
