Write System of Equations from Context

Question

Dalvin runs a farm stand that sells strawberries and blueberries. Each pound of strawberries sells for $2 and each pound of blueberries sells for $3.50. Dalvin sold twice as many pounds of blueberries as pounds of strawberries and he made $225 altogether. Write a system of equations that could be used to determine the number of pounds of strawberries sold and the number of pounds of blueberries sold. Define the variables that you use to write the system.

Answer 1

2s + 3.5b = 225

b = 2s

2s +3.5(2s) = 2s +7s = 9s = 225

s = 225/9 = 25 strawberries

b = 2s = 2(25) = 50 blue berries

Answer 2

Let x equal the number of pounds of strawberries that were sold. We are told that twice as many blueberries as strawberries were sold, so 2x equals the number of pounds of blueberries that were sold.

We are told that strawberries cost $2 per pound and blueberries cost $3.50 per pound. We are also told that total sales equal $225.

Therefore, 2.00x + 3.50 (2x) = 225.00

2x +7x = 225

9x = 225

x = 25

So 25 pounds of strawberries were sold and 50 pounds of blueberries were sold.

To check our answer:

2.00(25) + 3.50(50) = 50.00 + 175.00 = 225.00 and our answer is correct.

Answer 3

s represents the number of pounds of strawberries

b represents the number of pounds of blueberries

b = 2s

3.5 b + 2s = 225

Can you solve the system and answer?