Problema Solution
kyle works at a donut factory, where a 12-oz cup of coffee costs $1.15, a 16-oz cup costs $1.75, and a 20-oz cup costs $1.95. During one busy period, kyle served 25 cups of coffee, using 420 ounces of coffee, while collecting a total of $40.75. How many cups of each size did kyle fill?
Answer provided by our tutors
Lets assume that Kyle fills:
"a" 12-oz cups of coffee
"b" 16-oz cups of coffee
"c" 20 oz cups of coffee
Then, according to the problem,
a + b + c = 25
12*a + 16*b + 20*c = 420
1.15*a + 1.75*b + 1.95*c = 40.75
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click here to see the system of equations solved for a, b and c
........
a = 10 12-oz cups of coffee
b = 0 16-oz cups of coffee
c = 15 20-oz cups of coffee
Kyle filled ten 12-oz cups and fifteen 20-oz cups of coffee.