A donation drive lasted 2 weeks. In the first week, School F raised 5 times as much money as School G. ln the second week, School F raised another $445 while School G raised another $329. The total amount raised by School F was thrice as much money as the total amount raised by School G. What was the total amount of money raised by the two schools?
| |
School F
(1) |
School G
(2) |
Make p the same.
(2)x3 = (3) |
| Before |
5 u |
1 u |
3 u |
| Change |
+ 445 |
+ 329 |
+ 987 |
| After |
3 p |
1 p |
3 p |
5 u + 445 =
3 p --- (1)
1 u + 329 = 1 p --- (2)
(2)
x3
3 u + 987 =
3 p --- (3)
(1) = (3)
5 u + 445 = 3 u + 987
5 u - 3 u = 987 - 445
2 u = 542
1 u = 542 ÷ 2 = 271
Total amount raised by both schools in the first week
= 5 u + 1 u
= 6 u
= 6 x 271
= $1626
Total amount of money raised in 2 weeks by the two schools
= 1626 + 445 + 329
= $2400
Answer(s): $2400
