Alissa owns a lovely country store. She buys 6 jars of honey for $65 and sells 5 jars for $72. How many jars would Alissa have to buy and then sell to make a profit of $214?
Answers
Answer:
60 jars would Alissa buy to make a profit of $214.
Step-by-step explanation:
Hope it helps you..
Given:
Cost of 6 jars of honey=$65
The selling price of 5 jars of honey=$72
Profit=$214
To find:
The number of jars of honey to make a profit of $214
Solution:
The number of jars of honey to make a profit of $214 is 60.
We can find the number by following the given steps-
We know that the profit earned is the excess of selling price over the cost price.
So, profit on a jar of honey= Selling price of a jar of honey- cost price of a jar of honey
We are given that the cost of 6 jars of honey=$65
The cost of 1 jar of honey=$65/6
Now, she sells 5 jars of honey for $72.
So, the selling price of 1 jar of honey=$72/5
Since the selling price is greater than the cost of a jar of honey, Alissa is making a profit.
Now, let us assume that she sells J number of jars.
The total profit made by Alissa=$214
The cost price of J jars of honey=J×cost of 1 jar of honey
=65J/6
The selling price of J jars of honey=J×selling price of 1 jar of honey
=72J/5
Using these values, we get
72J/5-65J/6=214
107J/30=214
J=214×30/107
J=60
Therefore, the number of jars of honey to make a profit of $214 is 60.