Alcia received a $75 gift certificate for her birthday. She went to a boutique to buy some T- shirts at $7 each and some socks for $2.50 a pair. If T represents the number of T-Shirts, and S represents the number of pairs of socks she bought, write an inequality that would determine the number of T-shirts and pairs of socks she could buy. HURRY PLEASE

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]