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.

Question

4 years ago

10

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?

Mathematics

1 answer:

8_murik_8 [283] · Answer 1 · 2022-02-07T06:43:06+03:00

Answer:

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

Step-by-step 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