A charity drive lasted 2 weeks. In the first week, Club X raised 5 times as much money as Club Y. ln the second week, Club X raised another $472 while Club Y raised another $341. The total amount raised by Club X was twice as much money as the total amount raised by Club Y. What was the total amount of money raised by the two clubs?
| |
Club X
(1) |
Club Y
(2) |
Make p the same.
(2)x2 = (3) |
| Before |
5 u |
1 u |
2 u |
| Change |
+ 472 |
+ 341 |
+ 682 |
| After |
2 p |
1 p |
2 p |
5 u + 472 =
2 p --- (1)
1 u + 341 = 1 p --- (2)
(2)
x2
2 u + 682 =
2 p --- (3)
(1) = (3)
5 u + 472 = 2 u + 682
5 u - 2 u = 682 - 472
3 u = 210
1 u = 210 ÷ 3 = 70
Total amount raised by both clubs in the first week
= 5 u + 1 u
= 6 u
= 6 x 70
= $420
Total amount of money raised in 2 weeks by the two clubs
= 420 + 472 + 341
= $1233
Answer(s): $1233
