Question

1)a customer buys 2 shirts and pair athletic shoes. The shirts are priced the same. The customer spends a total of $95 .Write an equation to find the price of each shirt. 2) mark bought a pair of dress slacks a pair of dress shoes and a blazer. he spent $300. Write and solve an equation to find the cost of the blazel​

Answer 1

a.
`s=(95-a)/(2)`

b.
`b=(300-a-s)/(2)`

Explanation:

a. let s denote shirts and a denote athletic shoes. given that the shirts are priced the same and that the total amount spent was $95.

#The price of each shirt can be calculated using the expression;

`2s+a=95\\\\2s=95-a\\\\s=(95-a)/(2)`

Hence, the price of each shirt is obtained using
`s=(95-a)/(2)`

b. First we have to understand that slacks and shoes have to be bought in pairs as a single unit but a pair of blazer is 2 units.

Let a denote the slacks, s shoes and b the blazer.

#Therefore our expression will be:

`a+s+2b=300\\\\2b=300-a-s\\\\b=(300-a-s)/(2)`

Hence, the price of each blazer is calculated using the expression
`b=(300-a-s)/(2)`