sayan640 wrote:
Bunuel KarishmaB , Can you please explain to me why you say that the value of z cannot be 9 or higher, Thank you inadvance
Bunuel wrote:
Fish181 wrote:
Last Year a company gave bonuses to a number of employees, but only in the three amounts of $750, $1500, and $7,350. If the total amount of the bonuses was $64800 and each of the three amounts was given to at least one employee, what is the fewest number of bonuses that the company could have given to employees last year?
A 10
B 11
C 12
D 13
E14
A 10
B 11
C 12
D 13
E14
Assume x $750 bonuses, y $1500 bonuses, and z $7,350 bonuses were given. Then, we'dhave:
750x + 1,500y + 7,350z =64,800
Reduce by150:
5x + 10y + 49z =432
Our goal is to minimize x + y + z. To achieve this, we need to maximize the number of the largest bonus, z. The value of z cannot be 9 or higher, so we try z =8. In this case, wehave:
5x + 10y + 392 = 432
5x + 10y =40
Now, let's maximize the number of the next largest bonus, y. Since x > 0, the maximum value of y is 3, making x = 2.
Therefore, x
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Statistics : Posted by Bunuel • on 27 Apr 2024, 12:57 • Replies 4 • Views 175
