Question

Maya runs a farm stand that sells raspberries and blueberries. Each pound of

raspberries sells for $1 and each pound of blueberries sells for $3.25. Maya made
$192.50 from selling a total of 80 pounds of raspberries and blueberries. Determine
the number of pounds of raspberries sold and the number of pounds of blueberries
sold.

Answer 1

50lbs of blueberries = $162.50

30lbs raspberries = $30.00

$192.50 total

Explanation:

- 80 pounds totaling at $192.50 -

I found the answer by guessing/estimating between the pound amounts and prices. I eventually got down to 50lbs of blueberries and 30lbs raspberries

3.25 x 40 = $130.00

1 x 40 = $40.00

3.25 x 45 = $146.25

1 x 35 = $35.00

Final Answer:

3.25 x 50 = $162.50

1 x 30 = $30

$162.50 + $30.00 = $192.50

Answer 2

30 pounds of raspberries and 50 pounds of blueberries

Explanation:

Let's use b to represent blueberries and r for raspberries. Each pound of raspberries costs $1, so to find the total cost of raspberries we use 1r, which is just r. For blueberries, we do 3.25b.

r+3.25b=192.5

We also know that we can combine the numbers for 80 total pounds.

r+b=80

We can subtract the two equations we have made to eliminate the r and solve for b.

2.25b=112.5

We divide both sides by 2.25.

b=50

We know that r+b=80, so if b is 50 then r must be 30.

Have a wonderful day! :D