A fund-raising project lasted 2 weeks. In the first week, Team Y raised 4 times as much money as Team Z. ln the second week, Team Y raised another $374 while Team Z raised another $367. The total amount raised by Team Y was twice as much money as the total amount raised by Team Z. What was the total amount of money raised by the two teams?
| |
Team Y
(1) |
Team Z
(2) |
Make p the same.
(2)x2 = (3) |
| Before |
4 u |
1 u |
2 u |
| Change |
+ 374 |
+ 367 |
+ 734 |
| After |
2 p |
1 p |
2 p |
4 u + 374 =
2 p --- (1)
1 u + 367 = 1 p --- (2)
(2)
x2
2 u + 734 =
2 p --- (3)
(1) = (3)
4 u + 374 = 2 u + 734
4 u - 2 u = 734 - 374
2 u = 360
1 u = 360 ÷ 2 = 180
Total amount raised by both teams in the first week
= 4 u + 1 u
= 5 u
= 5 x 180
= $900
Total amount of money raised in 2 weeks by the two teams
= 900 + 374 + 367
= $1641
Answer(s): $1641
