A fund-raising project lasted 2 weeks. In the first week, Group L raised 5 times as much money as Group M. ln the second week, Group L raised another $257 while Group M raised another $205. The total amount raised by Group L was thrice as much money as the total amount raised by Group M. What was the total amount of money raised by the two groups?
| |
Group L
(1) |
Group M
(2) |
Make p the same.
(2)x3 = (3) |
| Before |
5 u |
1 u |
3 u |
| Change |
+ 257 |
+ 205 |
+ 615 |
| After |
3 p |
1 p |
3 p |
5 u + 257 =
3 p --- (1)
1 u + 205 = 1 p --- (2)
(2)
x3
3 u + 615 =
3 p --- (3)
(1) = (3)
5 u + 257 = 3 u + 615
5 u - 3 u = 615 - 257
2 u = 358
1 u = 358 ÷ 2 = 179
Total amount raised by both groups in the first week
= 5 u + 1 u
= 6 u
= 6 x 179
= $1074
Total amount of money raised in 2 weeks by the two groups
= 1074 + 257 + 205
= $1536
Answer(s): $1536
