Japheth had $130 less than Brandon. If Brandon spends $170 and Japheth's mother gave Japheth $400, Brandon will have
16 as much money as Japheth. How much money did Japheth and Brandon have?
| |
Make p the same
(1)x6 = (3) |
Japheth
(1) |
Brandon
(2) |
| Before |
6 u |
1 u |
1 u + 130 |
| Change |
- 1020 |
- 170 |
+ 400 |
| After |
6 p |
1 p |
6 p |
Since Japheth had $130 less than Brandon, this means Brandon had $130 more than Japheth.
1 u - 170 = 1 p --- (1)
1 u + 130 + 400 = 6 p
1 u + 530 =
6 p --- (2)
Make p the same.
(1)
x6
6 u - 1020 =
6 p --- (3)
(3) = (2)
6 u - 1020 = 1 u + 530
6 u - 1 u = 530 + 1020
5 u = 1550
1 u = 1550 ÷ 5 = 310
Total amount that Japheth and Brandon had
= 1 u + 1 u + 130
= 2 u + 130
= 2 x 310 + 130
= 620 + 130
= $750
Answer(s): $750
