The tie original price is $35. First, we need to calculate the discount over this price. To find 40% of a quantity, we just multiply the quantity by 40 and divide by 100.
[tex]35\times\frac{40}{100}=14[/tex]The discount is equal to $14. To find the price of the tie with the discount, we subtract the discount value from the original price.
[tex]35-14=21[/tex]The tax is 8%, calculating the tax of the discounted price, we have
[tex]21\times\frac{8}{100}=1.68[/tex]Adding the tax to the price, we have
[tex]21+1.68=22.68[/tex]Now, we subtract the $15 their mother gave them to help from the price
[tex]22.68-15=7.68[/tex]They paid together $7.68, since the girls will split the cost evenly, to find the value each paid we just need to divide this amount by 2.
[tex]\frac{7.68}{2}=3.84[/tex]Each sister paid $3.84.
