Answer:
152 cups were ordered.
Explanation:
Let the number of small size cups = x
And the number of medium size cups = y
Total number of cups used = 63
Therefore, first equation will be,
x + y = 63 -------(1)
Brewers emptied = 147 oz
Quantity of coffee in a small cup = 8 oz
Total amount of coffee in small cups = 8x
Quantity of coffee in a medium cup = 12 oz
Total amount of coffee in medium cups = 12y
Therefore, second equation will be,
8x + 12y = 147 -------(2)
Multiply equation (1) with 12 and subtract is from equation (2)
(8x + 12y) - (12x + 12y) = 147 - 756
-4x = -609
x = 152.25
Therefore, 152 cups of small size coffee were ordered.