Carcass wrote:
The cost of Penny’s retirement gift was shared equally by 25 employees. If 5 more employees had joined the group purchase, the cost per employee would have been $15 less. What was the cost of the gift?
A $450
B $900
C $1,500
D $2,250
E $2,500
If 5 more employees had joined the group purchase, the cost per employee would have been $15 less. We can write of the following "word equation": (cost per person with 25 sharing the cost) - (cost per person with 30 sharing the cost) = $15
Let x = the cost of the gift
Substitute values into the word equation to get: x/25 - x/30 = 15
Eliminate the fraction by multiplying both sides of the equation by 150 (the LCM of 25 and 30) to get: 6x - 5x = 2250
Simplify: x = 2250
Answer: D