Question

The cost of 4 boxes of apples and 5 boxes of pears is $20. The cost of 6 boxes of apples and 3 boxes ofpears is $21. Find the cost of a box of apples and a box of pears

Answer 1

Let 'x' represent the boxes of apples.

Let 'y' represent the boxes of pears.

The cost of 4 boxes of apples and 5 boxes of pears is $20.

The mathematical expression is,

`4x+5y=20.........1`

The cost of 6 boxes of apples and 3 boxes of pears is $21.

The mathematical expression is,

`6x+3y=21...........2`

Combining the two equations together

`\begin{gathered} 4x+5y=20..............1 \\ 6x+3y=21.............2 \end{gathered}`

Using Substitution method ofsimulataneous equqation to find