A donation drive lasted 2 weeks. In the first week, Club E raised 4 times as much money as Club F. ln the second week, Club E raised another $220 while Club F raised another $119. The total amount raised by Club E was twice as much money as the total amount raised by Club F. What was the total amount of money raised by the two clubs?
| |
Club E
(1) |
Club F
(2) |
Make p the same.
(2)x2 = (3) |
| Before |
4 u |
1 u |
2 u |
| Change |
+ 220 |
+ 119 |
+ 238 |
| After |
2 p |
1 p |
2 p |
4 u + 220 =
2 p --- (1)
1 u + 119 = 1 p --- (2)
(2)
x2
2 u + 238 =
2 p --- (3)
(1) = (3)
4 u + 220 = 2 u + 238
4 u - 2 u = 238 - 220
2 u = 18
1 u = 18 ÷ 2 = 9
Total amount raised by both clubs in the first week
= 4 u + 1 u
= 5 u
= 5 x 9
= $45
Total amount of money raised in 2 weeks by the two clubs
= 45 + 220 + 119
= $384
Answer(s): $384
