A fund-raising project lasted 2 weeks. In the first week, Group X raised 4 times as much money as Group Y. ln the second week, Group X raised another $300 while Group Y raised another $296. The total amount raised by Group X was twice as much money as the total amount raised by Group Y. What was the total amount of money raised by the two groups?
| |
Group X
(1) |
Group Y
(2) |
Make p the same.
(2)x2 = (3) |
| Before |
4 u |
1 u |
2 u |
| Change |
+ 300 |
+ 296 |
+ 592 |
| After |
2 p |
1 p |
2 p |
4 u + 300 =
2 p --- (1)
1 u + 296 = 1 p --- (2)
(2)
x2
2 u + 592 =
2 p --- (3)
(1) = (3)
4 u + 300 = 2 u + 592
4 u - 2 u = 592 - 300
2 u = 292
1 u = 292 ÷ 2 = 146
Total amount raised by both groups in the first week
= 4 u + 1 u
= 5 u
= 5 x 146
= $730
Total amount of money raised in 2 weeks by the two groups
= 730 + 300 + 296
= $1326
Answer(s): $1326
