Question

A produce company sells crates filled with a mixture of apples (x) and oranges (y) during the holiday season to grocery stores. Each crate contains a total of 72 pieces of fruit. Suppose that a crate has 8 more apples than oranges. Which system of linear equations can be used to determine the number of pieces of each kind of fruit in the crate?
A) x + y = 72
8x − y = 8
B) x + y = 72
x − y = 8
C) xy = 72
x − y = 8
D) x + y = 72
x + y = 8

Answer 1

Answer:

option B

$x+y=72$

$x-y=8$

Step-by-step explanation:

Let

x ----> number of apples

y ---> number of oranges

we know that

Each crate contains a total of 72 pieces of fruit

so

$x+y=72$ ----> equation A

A crate has 8 more apples than oranges

so

$x=y+8$

$x-y=8$ ----> equation B

therefore

Option B