Karin bought 25 lb of peaches at $4.00/lb and 15 lb of apples at $2.00/lb. If she wanted to buy 10 more pounds of another kind of fruit to make the average price per pound equal to $3.50, what price should she pay for the additional 10 lb?
Answers
Given :
The price of each pound of peaches = $4.00
The price of each pound of apples = $2.00
Karin bought 25 lb of peaches and 15 lb of apples.
To Find :
what price should she pay for 10 lb to make average price $3.50/lb.
Solution :
Price of purchased 25 lb of peaches = 25 × 4
= $100
Price of purchased 15 lb of apples = 15 × 2
= $30.00
She purchased the total amount of fruits = 25 lb + 15 lb
= 40 lb
and the price for 40 lb fruits = 100 + 30
= $130
The average price per pound = = $3.25/lb
She wants to purchase 10 lb another kind of fruit to make the average price per pound equal to $3.50.
Karin wants the total amount of fruits = 50 pounds
Let the price of 10 lb another fruit = x
Therefore the equation will be
x + 130 = 175
x = 175 - 130
x = 45
Price of 1 lb another kind of fruit = = $4.5/lb
Karin should pay $45 for 10 lb additional fruits to make the average price per pound equal to $3.50.