The ratio of the cell volume of black coffee to sugared coffee to coffee with milk is 3: 7: 5. the total sales volume of the three coffees is 300 cups. each cup of black coffee costs 50¢ and each cup of sugared coffee costs 60¢. if the earnings from the total sales were $165 what is the price of each cup of milk coffee

The price of each cup of coffee with milk=$0.51 or 51¢

Step-by-step 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

answer:

your answer is: c. 196 7/8 in^3.

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have