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.

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

Let the number of pounds of bananas be

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:

Subtracting both sides by 42.25 we get:

Dividing both sides by 5 we get:

The number of pounds of raspberries = 37 pounds.

Substituting the value of :

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.

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step-by-step explanation: