For 12 number of shirts would the cost be the same
Solution:
Given, Some students want to rider shirts with their school logo.
Let the number of shirts taken be "n"
One company charges $9.65 per shirt plus a setup fee of $43.
[tex]\text { Then, total cost }=43+9.65 \times n[/tex]
⇒ Total cost = 9.65n + 43
Another company charges $8.40 per shirt plus a $58 setup fee.
[tex]\text { Then, total cost }=58+8.40 \times n[/tex]
⇒ Total cost = 8.4n + 58
We have to find for what number of shirts would the cost be the same?
So, we have to equate both the total costs
[tex]\begin{array}{l}{\rightarrow 9.65 n+43=8.4 n+58} \\\\ {\rightarrow 9.65 n-8.4 n=58-43} \\\\ {\rightarrow 1.25 n=15} \\\\ {\rightarrow n=12}\end{array}[/tex]
Hence, students has to take 12 shirts for the cost to be same
