A cash voucher, either $200 or $300, is given to each of 45 staff members. If the total amount of these vouchers given is $11 800, find the number of staff members who receives a $200 voucher.
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一條中一maths文字題 快快
2006-11-02 4:44 am
回答 (3)
2006-11-02 4:50 am
✔ 最佳答案
Let x be the number of staff members who receives a $200 voucher.200x+300(45-x)=11800
2x+3(45-x)=118
-x+135=118
-x=-27
x=27
2006-11-02 4:53 am
Let x = the number of staff who receives $200 voucher
Let y = the number of staff who receives $300 voucher
(a) 200x + 300y = 11800
(b) 2x + 2y = 90 ( i.e. (x + y = 45) x 2)
(a) - (b) -> y = 28
so x = 45 - 28 = 17
Ans: 17 staff receive $200 voucher.
Let y = the number of staff who receives $300 voucher
(a) 200x + 300y = 11800
(b) 2x + 2y = 90 ( i.e. (x + y = 45) x 2)
(a) - (b) -> y = 28
so x = 45 - 28 = 17
Ans: 17 staff receive $200 voucher.
2006-11-02 4:52 am
Let x be the no. of $200 voucher
Let y be the no. of $200 voucher
Then,
x + y = 45
y = 45 - x
200x + 300y = 11800
200x + 300 (45 - x) = 11800
200x + 13500 - 300x = 11800
- 100x = -1700
so x = 17
Therefore, there are 17 x $200 voucher & 28 x $300 voucher.
Let y be the no. of $200 voucher
Then,
x + y = 45
y = 45 - x
200x + 300y = 11800
200x + 300 (45 - x) = 11800
200x + 13500 - 300x = 11800
- 100x = -1700
so x = 17
Therefore, there are 17 x $200 voucher & 28 x $300 voucher.
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