a candy store sells gummy flies for $5.25 per pound and Dew Drops for $6.50 per pound. If they sell 4 times as many pounds of dew drops as gummy flies and take in $906.25, how many pounds of dew drops did they sell?
To find out how many pounds of Dew Drops the candy store sold, we'll follow these steps:
Step 1: Assign variables
Let:
x = pounds of Gummy Flies sold
4x = pounds of Dew Drops sold (since they sold 4 times as many pounds of Dew Drops)
Step 2: Calculate the revenue from Gummy Flies
The cost of Gummy Flies per pound is $5.25. So the revenue from Gummy Flies sold would be 5.25x.
Step 3: Calculate the revenue from Dew Drops
The cost of Dew Drops per pound is $6.50. So the revenue from Dew Drops sold would be 6.50(4x).
Step 4: Set up the equation
The total revenue from both Gummy Flies and Dew Drops sold is $906.25. Therefore, we have the equation:
5.25x + 6.50(4x) = 906.25
Step 5: Solve the equation
To solve this equation, we'll simplify and combine like terms:
5.25x + 26x = 906.25
31.25x = 906.25
x = 906.25 / 31.25
x ≈ 29
Step 6: Calculate the pounds of Dew Drops sold
Since the pounds of Gummy Flies sold is x and the pounds of Dew Drops sold is 4x, the pounds of Dew Drops sold would be:
4x ≈ 4(29)
4x ≈ 116
Therefore, the candy store sold approximately 116 pounds of Dew Drops.
D = 4G
5.25G + 6.50D = 906.25
5.25G + 6.50(4G) = 906.25
Solve for G, then D.