Question

Kyle works at a donut​ factory, where a​ 10-oz cup of coffee costs 95cents​, a​ 14-oz cup costs​ $1.15, and a​ 20-oz cup costs​ $1.50. During one busy​ period, Kyle served 29 cups of​ coffee, using 414 ounces of​ coffee, while collecting a total of ​$34.05. How many cups of each size did Kyle​ fill?

Answer 1

10Oz = 7 , 14Oz = 16, 20 OZ = 6

Explanation:

There three equations that can be made here based on given data

Let number of 10 Oz cup be x

Let number of 14 Oz cup be y

Let number of 20 Oz cube be z

we can see that

x+y+z=29 ----- (i)

.95x + 1.15y + 1.5z = 34.05 ---- (ii)

10x+ 14y + 20z = 414 ---- (iiI)

We can solve these equations together to get the value of x and y and z (Done through calculator 3 variable equation function)

x= 7

y=16

z=6