Question

1 Middle School Mathematics 5 points stio49304Asked 03.20.2020 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. Determine the number of pounds of bananas sold and the number of pounds of raspberries sold.

Answer 1

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 $x.$

Let the number of pounds of bananas be $x+13.$

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:

$x(1.75)+x+13(3.25)=227.25\\\\1.75x+3.25x+42.25=227.25\\\\5x+42.25=227.25$

Subtracting both sides by 42.25 we get:

$5x=185$

Dividing both sides by 5 we get:

$x=37.$

The number of pounds of raspberries = 37 pounds.

Substituting the value of $x$:

$x+13\\\\=37+13\\\\=50.$

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.