Q20. - Algebra 1

Question

Write a problem based on the following information:

$c=\mathrm{cost} \mathrm{of} \mathrm{a} \mathrm{notebook}; 0.25\mathrm{c}=\mathrm{markup}; c+0.25c=3.75$ 

Step-by-Step Solution

Answer

The problem is:

“A team consists of swimmers and gymnasts. The number of swimmers in the team is three times the number of gymnasts in the team and is equal to 45. Find the number of gymnasts in the team”.

Step 1. Given information.

The given information is:

$c=\mathrm{cost} \mathrm{of} \mathrm{a} \mathrm{notebook}; 0.25\mathrm{c}=\mathrm{markup}; c+0.25c=3.75$

Step 2. Break the terms and write sentences.

Consider the cost price of a notebook c and the selling price is 3.75.

According to the expression “$0.25c$”, 25% of cost price.

 

Step 3. Write the problem.

The problem can be framed as in below:

“A shopkeeper sells a notebook by adding 25% as his commission. The selling price of the notebook is $3.75. Find the cost price of the notebook”.