A charity drive lasted 2 weeks. In the first week, Team X raised 4 times as much money as Team Y. ln the second week, Team X raised another $428 while Team Y raised another $320. The total amount raised by Team X was twice as much money as the total amount raised by Team Y. What was the total amount of money raised by the two teams?
| |
Team X
(1) |
Team Y
(2) |
Make p the same.
(2)x2 = (3) |
| Before |
4 u |
1 u |
2 u |
| Change |
+ 428 |
+ 320 |
+ 640 |
| After |
2 p |
1 p |
2 p |
4 u + 428 =
2 p --- (1)
1 u + 320 = 1 p --- (2)
(2)
x2
2 u + 640 =
2 p --- (3)
(1) = (3)
4 u + 428 = 2 u + 640
4 u - 2 u = 640 - 428
2 u = 212
1 u = 212 ÷ 2 = 106
Total amount raised by both teams in the first week
= 4 u + 1 u
= 5 u
= 5 x 106
= $530
Total amount of money raised in 2 weeks by the two teams
= 530 + 428 + 320
= $1278
Answer(s): $1278
