Answer:
42
Explanation:
From the question, we have it that 63 cups were emptied
That means the sum of both cup sizes is 63
Thus;
x + y = 63 ••••••(i)
Since each small cup is of size 8 oz and a total of x was used. The total volume from the small sized cup is 8 * x = 8x oz
similarly for the medium sized, we have 12 * y = 12y oz
The sum of both is 4(147)
8x + 12y = 4(147 )•••••(ii)
We want to get the value of x
from equation i;
y = 63-x
Substitute this into equation ii
8x + 12(63-x) = 4(147)
8x + 756 - 12x = 4(147)
12x-8x = 756-4(147)
4x = 168
x = 168/4
x = 42 small sized cups