Question

A school purchases jars of marbles.

* Each jar contains 500 pieces of marbles.
* Each jar costs $10.
How much does the school have to charge for each piece of marbles to make a profit of $25 per
jar?
a. $0.07
b. $0.10
c. $0.14
d. $0.25

Answer 1

Option A : $0.07

Explanation:

Given :

A school purchases jars of marbles.

Each jar contains 500 pieces of marbles.

Each jar costs $10.

To Find : How much does the school have to charge for each piece of marbles to make a profit of $25 per jar?

Solution :

Cost of one jar is $10

Now, school wants to make profit of $25 on each jar .

using formula : Profit = Charge - cost

⇒$25 = charge - $10

⇒$35 = charge

Thus school should charge one jar of marbles of $35.

Since each jar contains 500 marbles.

So,to calculate cost of each marble when charge of jar is $35.

Cost of 500 marbles is $35

Cost of 1 marble = 35/500 = $0.07

cost of each marble when charge of jar is $35 is $0.07

Hence , the school have to charge $0.07 for each piece of marble to make a profit of $25 per jar.

Option A is correct

Answer 2

a. $0.07

Explanation:

Profit = Charge -Cost

We want to make a profit of 25 and the cost is 10

25 = Charge -10

Add 10 to each side

25+10 = Charge -10+10

35 = Charge

We need to charge 35 per jar.

Each jar contains 500 marbles

The cost per marble is Cost/ number of marbles

cost per marbles = $35 / 500

= $.07