A charity drive 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 $337 while Group B raised another $149. 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 |
+ 337 |
+ 149 |
+ 447 |
| After |
3 p |
1 p |
3 p |
5 u + 337 =
3 p --- (1)
1 u + 149 = 1 p --- (2)
(2)
x3
3 u + 447 =
3 p --- (3)
(1) = (3)
5 u + 337 = 3 u + 447
5 u - 3 u = 447 - 337
2 u = 110
1 u = 110 ÷ 2 = 55
Total amount raised by both groups in the first week
= 5 u + 1 u
= 6 u
= 6 x 55
= $330
Total amount of money raised in 2 weeks by the two groups
= 330 + 337 + 149
= $816
Answer(s): $816
