Question

A local clothing store sells jeans and shirts. The store makes a $10 profit on the sale of jeans and $3 profit on the sale of the shirt. The store wants to make at least $150 from the sales. Write an inequality to model the situation.

Answer 1

An inequality to model the situation is : ( 10 m + 3 n) ≥ 150

Here, m : The number of jeans sold

n : The number of shirts sold.

Explanation:

Here, the profit on each sale of jeans = $ 10

The profit on each sale of shirt = $ 3

The profit needed to be made = AT LEAST $150

Now, here: Let us assume the number of jeans sold = m

And, The number of shorts sold =n

So, the profit on m jeans = m x ( Profit on 1 jeans) = m x ( $ 10) = 10 m

So, the profit on n shirts = n x ( Profit on 1 shirt) = n x ( $ 3) = 3 n

⇒ The total profit on m jeans + n shirts = ( 10 m + 3 n)

But, according to the question, the profit should AT LEAST $150.

⇒ TOTAL PROFIT ≥ $ 150

⇒ ( 10 m + 3 n) ≥ 150

Hence, an inequality to model the situation is : ( 10 m + 3 n) ≥ 150