Alocal 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.

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.

Step-by-step 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

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