A donation drive lasted 2 weeks. In the first week, School R raised 5 times as much money as School S. ln the second week, School R raised another $244 while School S raised another $276. The total amount raised by School R was thrice as much money as the total amount raised by School S. What was the total amount of money raised by the two schools?
| |
School R
(1) |
School S
(2) |
Make p the same.
(2)x3 = (3) |
| Before |
5 u |
1 u |
3 u |
| Change |
+ 244 |
+ 276 |
+ 828 |
| After |
3 p |
1 p |
3 p |
5 u + 244 =
3 p --- (1)
1 u + 276 = 1 p --- (2)
(2)
x3
3 u + 828 =
3 p --- (3)
(1) = (3)
5 u + 244 = 3 u + 828
5 u - 3 u = 828 - 244
2 u = 584
1 u = 584 ÷ 2 = 292
Total amount raised by both schools in the first week
= 5 u + 1 u
= 6 u
= 6 x 292
= $1752
Total amount of money raised in 2 weeks by the two schools
= 1752 + 244 + 276
= $2272
Answer(s): $2272
