Katrina is going to order sweatshirts for her girls mentoring group. The sweatshirts will have the group logo printed on the front. Katrina asks two local companies to give her a price.
• MH Designs will charge $21.50 for each of the sweatshirts.
• Print Rich will charge $18 for each sweatshirt plus a one-time setup cost of $70.
Justify how to determine the number of sweatshirts Katrina would need to order from
each company for the costs to be the same.

The number of sweatshirts Katrina would need to order from each company can be determined by forming the linear equation in two variables.

Given :

Katrina is going to order sweatshirts for her girl's mentoring group.
Katrina asks two local companies to give her a price.
MH Designs will charge $21.50 for each of the sweatshirts.
Print Rich will charge $18 for each sweatshirt plus a one-time setup cost of $70.

Let the number of sweatshirts orders from company MH Designs be 'x' and the number of sweatshirts orders from company Print Rich be 'y'.

So, the cost for ordering the sweatshirt from the company MH Design is:

[tex]21.50x = c[/tex]

Now, the cost for ordering the sweatshirt from the company Print Rich is:

18y + 70 = c'

Given that the number of sweatshirts Katrina would need to order from each company for the costs to be the same. So :

21.5x = 18y + 70

Now, put the value of x and y so, that in the above equation, both sides become equal.

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https://brainly.com/question/2263981