Respuesta :
Answer:
The number of pounds of bananas sold are 50 and the number of pounds of raspberries sold are 37.
Step-by-step explanation:
Given:
Charlotte runs a farm stand that sells bananas and raspberries.
Each pound of bananas sells for $3.25 and each pound of raspberries sells for $1.75.
Charlotte sold 13 more pounds of bananas than pounds of raspberries and made $227.25 altogether.
Now, tot find the number of pounds of bananas sold and the number of pounds of raspberries sold.
Let the number of pounds of raspberries be [tex]x.[/tex]
Let the number of pounds of bananas be [tex]x+13.[/tex]
Selling price of each pound of raspberries = $1.75.
Selling price of each bananas = $3.25.
Total price of bananas and raspberries sold = $227.25.
Now, we put an equation to get the number of pounds of bananas sold and the number of pounds of raspberries sold:
[tex]x(1.75)+x+13(3.25)=227.25\\\\1.75x+3.25x+42.25=227.25\\\\5x+42.25=227.25[/tex]
Subtracting both sides by 42.25 we get:
[tex]5x=185[/tex]
Dividing both sides by 5 we get:
[tex]x=37.[/tex]
The number of pounds of raspberries = 37 pounds.
Substituting the value of [tex]x[/tex]:
[tex]x+13\\\\=37+13\\\\=50.[/tex]
The number of pounds of bananas = 50.
Therefore, the number of pounds of bananas sold are 50 and the number of pounds of raspberries sold are 37.
