A donation drive lasted 2 weeks. In the first week, Club Q raised 5 times as much money as Club R. ln the second week, Club Q raised another $289 while Club R raised another $260. The total amount raised by Club Q was twice as much money as the total amount raised by Club R. What was the total amount of money raised by the two clubs?
| |
Club Q
(1) |
Club R
(2) |
Make p the same.
(2)x2 = (3) |
| Before |
5 u |
1 u |
2 u |
| Change |
+ 289 |
+ 260 |
+ 520 |
| After |
2 p |
1 p |
2 p |
5 u + 289 =
2 p --- (1)
1 u + 260 = 1 p --- (2)
(2)
x2
2 u + 520 =
2 p --- (3)
(1) = (3)
5 u + 289 = 2 u + 520
5 u - 2 u = 520 - 289
3 u = 231
1 u = 231 ÷ 3 = 77
Total amount raised by both clubs in the first week
= 5 u + 1 u
= 6 u
= 6 x 77
= $462
Total amount of money raised in 2 weeks by the two clubs
= 462 + 289 + 260
= $1011
Answer(s): $1011
