The bookstore at suntan u had a sale on school t shirts. thursday they sold 45 of the marked down t-shirts for a total of 406.50. if the womens shirts were on sale for 9.25 and the mens shirts were on sale fore 8.50, how many of each were sold on thursday

The number of women's shirt sold is 32.

The number of men's shirt sold is 13

Step-by-step explanation:

Total number of T shirts sold on Thursday = 45

Total amount it was sold for :  406.50

Cost of each women's t shirt = 9.25

Cost of each men's t shirt = 8.50

Here, let the number of women's shirt sold= k

So,number of men's shirt = Total shirts sold - Women's shirt

= 45 - k

Also, total amount earned = Amount earned from men's shirt + amount earned from women's shirt

or, 406.50  =  k(9.25) + (45 -k)(8.50)

⇒ 406.50 = 9.25 k - 8.50 k +  382.5

or, 24 =  0.75 k

⇒ k = 24/0.75 = 32

Hence, the number of women's shirt sold is 32

And the number of men's shirt sold = 45 - 32  = 13