A donation drive lasted 2 weeks. In the first week, Club A raised 4 times as much money as Club B. ln the second week, Club A raised another $470 while Club B raised another $381. The total amount raised by Club A was twice as much money as the total amount raised by Club B. What was the total amount of money raised by the two clubs?
| |
Club A
(1) |
Club B
(2) |
Make p the same.
(2)x2 = (3) |
| Before |
4 u |
1 u |
2 u |
| Change |
+ 470 |
+ 381 |
+ 762 |
| After |
2 p |
1 p |
2 p |
4 u + 470 =
2 p --- (1)
1 u + 381 = 1 p --- (2)
(2)
x2
2 u + 762 =
2 p --- (3)
(1) = (3)
4 u + 470 = 2 u + 762
4 u - 2 u = 762 - 470
2 u = 292
1 u = 292 ÷ 2 = 146
Total amount raised by both clubs 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 clubs
= 730 + 470 + 381
= $1581
Answer(s): $1581
