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.

Question

contestada

Respuesta :

amna04352 amna04352 · Answer 1 · 2020-03-25T04:43:01+01:00

Answer:

50 pounds of bananas

37 pounds of raspberries

Step-by-step explanation:

3.25(b) + 1.75(b - 13) = 227.25

5b - 22.75 = 227.25

5b = 250

b = 50

b - 13 = 37

Answer Link

topeadeniran2 topeadeniran2 · Answer 2 · 2021-10-01T14:00:37+02:00

There are 50 pounds of bananas sold and there are 37 pounds of raspberries sold.

Let the number of bananas sold = b

Let the number of raspberries sold = b - 13.

Based on the information given, the equation will be:

3.25(b) + 1.75(b - 13) = 227.25

Open the brackets

3.25b + 1.75b - 22.75 = 227.25

Collect like terms

3.25b + 1.75b = 227.25 + 22.75

5b = 250

Divide both side by 5

5b/5 = 250/5

b = 50

Pounds of raspberries = 50 - 13 = 37

There are 50 pounds of bananas sold and there are 37 pounds of raspberries sold.

Read related link on:

https://brainly.com/question/15020595