A donation drive lasted 2 weeks. In the first week, Group E raised 5 times as much money as Group F. ln the second week, Group E raised another $252 while Group F raised another $244. The total amount raised by Group E was thrice as much money as the total amount raised by Group F. What was the total amount of money raised by the two groups?
| |
Group E
(1) |
Group F
(2) |
Make p the same.
(2)x3 = (3) |
| Before |
5 u |
1 u |
3 u |
| Change |
+ 252 |
+ 244 |
+ 732 |
| After |
3 p |
1 p |
3 p |
5 u + 252 =
3 p --- (1)
1 u + 244 = 1 p --- (2)
(2)
x3
3 u + 732 =
3 p --- (3)
(1) = (3)
5 u + 252 = 3 u + 732
5 u - 3 u = 732 - 252
2 u = 480
1 u = 480 ÷ 2 = 240
Total amount raised by both groups in the first week
= 5 u + 1 u
= 6 u
= 6 x 240
= $1440
Total amount of money raised in 2 weeks by the two groups
= 1440 + 252 + 244
= $1936
Answer(s): $1936
