A charity drive lasted 2 weeks. In the first week, Group Q raised 5 times as much money as Group R. ln the second week, Group Q raised another $294 while Group R raised another $375. The total amount raised by Group Q was twice as much money as the total amount raised by Group R. What was the total amount of money raised by the two groups?
| |
Group Q
(1) |
Group R
(2) |
Make p the same.
(2)x2 = (3) |
| Before |
5 u |
1 u |
2 u |
| Change |
+ 294 |
+ 375 |
+ 750 |
| After |
2 p |
1 p |
2 p |
5 u + 294 =
2 p --- (1)
1 u + 375 = 1 p --- (2)
(2)
x2
2 u + 750 =
2 p --- (3)
(1) = (3)
5 u + 294 = 2 u + 750
5 u - 2 u = 750 - 294
3 u = 456
1 u = 456 ÷ 3 = 152
Total amount raised by both groups in the first week
= 5 u + 1 u
= 6 u
= 6 x 152
= $912
Total amount of money raised in 2 weeks by the two groups
= 912 + 294 + 375
= $1581
Answer(s): $1581
