A fund-raising project lasted 2 weeks. In the first week, Group G raised 5 times as much money as Group H. ln the second week, Group G raised another $357 while Group H raised another $141. The total amount raised by Group G was thrice as much money as the total amount raised by Group H. What was the total amount of money raised by the two groups?
| |
Group G
(1) |
Group H
(2) |
Make p the same.
(2)x3 = (3) |
| Before |
5 u |
1 u |
3 u |
| Change |
+ 357 |
+ 141 |
+ 423 |
| After |
3 p |
1 p |
3 p |
5 u + 357 =
3 p --- (1)
1 u + 141 = 1 p --- (2)
(2)
x3
3 u + 423 =
3 p --- (3)
(1) = (3)
5 u + 357 = 3 u + 423
5 u - 3 u = 423 - 357
2 u = 66
1 u = 66 ÷ 2 = 33
Total amount raised by both groups in the first week
= 5 u + 1 u
= 6 u
= 6 x 33
= $198
Total amount of money raised in 2 weeks by the two groups
= 198 + 357 + 141
= $696
Answer(s): $696
