Answer:
The price of each cup of coffee with milk=$0.51 or 51¢
Explanation:
The ratio of the sale volume of black coffee to sugared coffee to coffee with milk is 3:7:5.
Since the total volume of coffee sales is 300 cups
The volume of sales per coffee type can be expressed as follows;
1. Black coffee=(3/(3+7+5))×300=(3/15)×300=60 sales
2. Sugared coffee=(7/(3+7+5))×300=(7/15)×300=140 sales
3. Coffee with milk=(5/(3+7+5))×300=(5/15)×300=100 sales
Consider Equation 1 below:
Earnings from total sales=(Cost of each cup of black coffee×It's volume of sales)+(Cost of each cup of sugared coffee×It's volume of sales)+(Cost of each cup of coffee with milk×It's volume of sales), where;
Earnings from the total sales=$165
Since 1 dollar=100 cents, 50 cents=50/100=$0.5
Cost of each cup of black coffee=$0.5, Volume of sales of black coffee=60 sales
Since 1 dollar=100 cents, 60 cents=60/100=$0.6
Cost of each cup of sugared coffee=$0.6, Volume of sales of black coffee=140 sales
Cost of each cup of milk coffee=$x, Volume of sales of black coffee=100 sales
Substituting values in equation 1
165=(0.5×60)+(0.6×140)+(x×100)
165=30+84+100x
165=114+100x
100x=165-114
100x=51
x=0.51
The price of each cup of milk coffee=x=$0.51 or 51 cents