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

Respuesta :

Answer:

option B

[tex]x+y=72[/tex]

[tex]x-y=8[/tex]

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

[tex]x+y=72[/tex] ----> equation A

A crate has 8 more apples than oranges

so

[tex]x=y+8[/tex]

[tex]x-y=8[/tex] ----> equation B

therefore

Option B