Question

680 pumpkins, 45% were large selling for 2.50 each, 40% were small pumpkins selling for 1.25 each the remainder were fed to pigs A. How many did they feed to pigs?B. How many pumpkins did they sell?C. What income did they make of the sale of pumpkins?D.What was the average price per pumpkins?

Answer 1

The total number of pumpkins = 680

45 % of the pumpkins were large pumpkins selling for 1.25 each

Let the total number of large pumpkins = x

x = 45% of 680

x = 45/100 x 680

x = 0.45 x 680

x = 306

The number of large pumpkins = 306 pumpkins

let the number of small pumpkins = y

y = 40% of the total pumpkins

y = 40% x 680

y = 40/100 x 680

y = 0.40 x 680

y = 272

Therefore, the number of small pumpkins = 272 pumpkins

The sum of the large pumpkins and small pumpkins = 306 + 272

Sum = 578 pumpkins

Remaining pumpkins = Total pumpkins - sum of both the large pumpkins and small pumpkins

Remaining pumpkins = 680 - 578

Remaining pumpkins = 102 pumpkins

Part A

102 pumpkins were fed to the pigs

Part B

578 pumpkins were sold

Part C

Large pumpkins was sold at $2.50 each

small pumpkins was sold at $1.25 each

Total profit= (306 x 2.5) + (272 x 1.25)

Total profit = 765 + 340

Total profit = $ 1, 105

Total income made from the sales of pumpkins is $ 1, 105

Part D

The average price per pumpkins can be calculated as follows

$\begin{gathered} \frac{(2.5\text{ x 306) + (1.25 x 272)}}{306\text{ + 2}72} \\ \frac{765\text{ + 340}}{578} \\ \text{Average price = }\frac{1,\text{ 105}}{578} \\ \text{Average price = \ 1.9} \end{gathered}$