let x represent the number of apples and y represent the number of oranges.
TOTAL: x + y = 112
y = 112 - x
PEELED: [tex]\frac{3}{8}x = \frac{1}{2}y[/tex]
[tex](8)\frac{3}{8}x = (8)\frac{1}{2}y[/tex]
3x = 4y
3x = 4(112 - x)
3x = 448 - 4x
7x = 448
x = 64
y = 112 - x
= 112 - 64
= 48
a) There are 64 apples and 48 oranges
Peeled apples: [tex]\frac{3}{8}x = \frac{3}{8}(64)[/tex]= 3(8) = 24
Unpeeled apples: 64 - 24 = 40
Unpeeled - Peeled: 40 - 24 - 16
b) there are 16 more unpeeled apples than peeled apples
