Julian had $130 less than Cody. If Cody spends $150 and Julian's mother gave Julian $60, Cody will have
13 as much money as Julian. How much money did Julian and Cody have?
| |
Make p the same
(1)x3 = (3) |
Julian
(1) |
Cody
(2) |
| Before |
3 u |
1 u |
1 u + 130 |
| Change |
- 450 |
- 150 |
+ 60 |
| After |
3 p |
1 p |
3 p |
Since Julian had $130 less than Cody, this means Cody had $130 more than Julian.
1 u - 150 = 1 p --- (1)
1 u + 130 + 60 = 3 p
1 u + 190 =
3 p --- (2)
Make p the same.
(1)
x3
3 u - 450 =
3 p --- (3)
(3) = (2)
3 u - 450 = 1 u + 190
3 u - 1 u = 190 + 450
2 u = 640
1 u = 640 ÷ 2 = 320
Total amount that Julian and Cody had
= 1 u + 1 u + 130
= 2 u + 130
= 2 x 320 + 130
= 640 + 130
= $770
Answer(s): $770
