Question

A farm stand sells apples pies and jars of applesauce. The table shows the number of apples needed to make a pie and a jar of applesauce. Yesterday, the farm picked 213 granny Smith apples and 269 golden delicious apples. How many pies and jars of applesauce can the farm make if every apple is used?

Answer 1

5 Granny smith apple and 9 Golden delicious apple is required to produce a pie.

8 Granny smith apple and 4 Golden delicious apple is required to produce a jar of applesauce.

Therefore,

`\begin{gathered} \text{let } \\ \text{ number of pies=x} \\ \text{ number of jars=y} \end{gathered}`
`\begin{gathered} 5x+8y=213 \\ 9x+4y=269 \\ 18x+8y=538 \\ 18x-5x=538-213 \\ 13x=325 \\ x=(325)/(13) \\ x=25 \\ \\ 5(25)+8y=213 \\ 125+8y=213 \\ 8y=88 \\ y=(88)/(8) \\ y=11 \end{gathered}`