A fund-raising project lasted 2 weeks. In the first week, Group A raised 5 times as much money as Group B. ln the second week, Group A raised another $300 while Group B raised another $238. The total amount raised by Group A was thrice as much money as the total amount raised by Group B. What was the total amount of money raised by the two groups?
| |
Group A
(1) |
Group B
(2) |
Make p the same.
(2)x3 = (3) |
| Before |
5 u |
1 u |
3 u |
| Change |
+ 300 |
+ 238 |
+ 714 |
| After |
3 p |
1 p |
3 p |
5 u + 300 =
3 p --- (1)
1 u + 238 = 1 p --- (2)
(2)
x3
3 u + 714 =
3 p --- (3)
(1) = (3)
5 u + 300 = 3 u + 714
5 u - 3 u = 714 - 300
2 u = 414
1 u = 414 ÷ 2 = 207
Total amount raised by both groups in the first week
= 5 u + 1 u
= 6 u
= 6 x 207
= $1242
Total amount of money raised in 2 weeks by the two groups
= 1242 + 300 + 238
= $1780
Answer(s): $1780
