Question

Makayla runs a farm stand that sells raspberries and peaches. Each pound of raspberries sells for $2 and each pound of peaches sells for $3. Makayla sold 6 more pounds of peaches than pounds of raspberries and made $103 altogether. Determine the number of pounds of raspberries sold and the number of pounds of peaches sold

Answer 1

The number of pounds of raspberries sold was 17 and the number of pounds of peaches sold was 23

Explanation:

Let

x ----> the number of pounds of raspberries sold

y ----> the number of pounds of peaches sold

we know that

`2x+3y=103` -----> equation A

`y=x+6` -----> equation B

Solve the system by substitution

Substitute equation B in equation A and solve for x

`2x+3(x+6)=103`

`2x+3x+18=103`

`5x=103-18`

`5x=85`

`x=17\ pounds`

Find the value of y

`y=17+6=23\ pounds`

therefore

The number of pounds of raspberries sold was 17 and the number of pounds of peaches sold was 23