Respuesta :
So, Since she has $75 total, that means she can buy 8 t-shirts and 7 socks with $1.50 left
T represents the number of T-Shirts
S represents the number of pairs of socks she bought
Each T-shirt cost $7, so 'T' T-Shirts will cost 7T
Each Pairs of socks cost $2.5, so 'S' pair of socks cost 2.5S
[tex] Total \; cost\; =\; T-shirts \; cost \; +\; Pair \; of \; socks\; cost \\ \\ Total \; Cost \; =\; 7T+2.5S\\ \\ [/tex]
Total cost should be less than or equal to 75 dollars.
Conclusion:
The inequality that would determine the number of T-shirts and pairs of socks she could buy is given below:
[tex] 7T+2.5S\leq 75 [/tex]