Earnings in the first month: $5
Earnings after six months: $20.75
Loss from unsold gumballs after six months: $1.70
Therefore, the net earnings over the entire period are $5 + $20.75 - $1.70 = $24.05.
Let's break this down step by step.
Question 6:
Cost per gumball: $0.25
Percentage of gumballs sold during the first month: 20%
To find the earnings from the gumballs sold during the first month, we need to know the initial capacity of the gumball machine.
Let's assume the initial capacity of the machine is 100 gumballs.
Gumballs sold in the first month: 20% of 100 = 0.20 * 100 = 20 gumballs
Earnings from gumballs sold in the first month: 20 gumballs * $0.25 per gumball = $5
Question 7:
Percentage of original gumballs sold after six months: 83%
Cost of each gumball to the candy store: $0.10
Let's assume the initial capacity of the gumball machine is still 100 gumballs.
Gumballs sold after six months: 83% of 100 = 0.83 * 100 = 83 gumballs
Gumballs left after six months: 100 gumballs - 83 gumballs = 17 gumballs
Money earned from gumballs sold after six months: 83 gumballs * $0.25 per gumball = $20.75
However, the gumballs that were not sold after six months have to be thrown away during the cleaning.
Cost of gumballs thrown away: 17 gumballs * $0.10 per gumball = $1.70
So, after six months, the store earned $20.75 from sales but incurred a cost of $1.70 for the unsold gumballs.
Question
6. Once the new machine is installed, the cost per gumball will be $0.25. If, during the first month, 20% of the gumballs in the machine are sold, how much money will the candy store earn? Assume the gumball machine was initially filled to capacity. Show your work. 7. Six months after it is installed and filled to capacity, the giant gumball machine must be emptied for cleaning. At that time the gumballs left in the machine are thrown away. If 83% of the original number of gumballs were sold, and the gumballs cost the candy store $0.10 each, how much money will the store lose when cleaning the machine?