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

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calculista calculista · Answer 1 · 2019-09-17T11:01:45+02:00

Answer:

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

Step-by-step explanation:

Let

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

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

we know that

[tex]2x+3y=103[/tex] -----> equation A

[tex]y=x+6[/tex] -----> equation B

Solve the system by substitution

Substitute equation B in equation A and solve for x

[tex]2x+3(x+6)=103[/tex]

[tex]2x+3x+18=103[/tex]

[tex]5x=103-18[/tex]

[tex]5x=85[/tex]

[tex]x=17\ pounds[/tex]

Find the value of y

[tex]y=17+6=23\ pounds[/tex]

therefore

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