Question

kyle works at a donut factory where a 10-oz cup of coffee costs 95 cents, a 14-oz cup costs $1.15, and a 20-oz cup costs $1.50. during one busy period, kyle served 17 cups of coffee, using 244 ounces of coffee, while collecting a total of $20.10. how many cups of coffee if each size did kyle fill?

Answer 1

The number of a 10-oz cup of coffee was 6

The number of a 14-oz cup of coffee was 6

The number of a 20-oz cup of coffee was 5

Explanation:

Let

x ----> the number of a 10-oz cup of coffee

y ----> the number of a 14-oz cup of coffee

z ----> the number of a 20-oz cup of coffee

we know that

`x+y+z=17` -----> equation A

`10x+14y+20z=244` ----> equation B

`0.95x+1.15y+1.50z=20.10` ----> equation C

Using a equation System Solver (Wolfram Alpha)

The solution is

x=6, y=6, z=5

see the attached figure

therefore

The number of a 10-oz cup of coffee was 6

The number of a 14-oz cup of coffee was 6

The number of a 20-oz cup of coffee was 5