Question

Hugo buys a $15 tie. He also buys a $19 shirt that is on sale for 15% off. The sales tax applied to the purchase is 2%. The expression (15 + 0.85 ? 19)1.02 represents Hugo's total cost. Write another expression that represents the cost of Hugo's purchase.

Answer 1

`(15* 1.02)+(0.85*19)1.02`

Explanation:

We have been given that Hugo buys a $15 tie. He also buys a $19 shirt that is on sale for 15% off.

So the cost of items purchased by Hugo will be 15 plus 85% of 19 as the shirt is on sale for 15% off.

We are also told that the sales tax applied to the purchase is 2%, so the total cost will also include the 2% of the cost of items purchased by Hugo.

The expression
`(15+0.85*19)1.02` represents Hugo's total cost, where 1.02 represents the cost of items after tax.

We can get another expression for the total cost of Hugo's purchase by distributing 1.02 to our expression as:

`(15* 1.02)+(0.85*19)1.02`

Therefore, the another expression representing the cost Hugo's purchase is
`(15* 1.02)+(0.85*19)1.02`