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.

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:

link

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

9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841