Question

Mitchell wants to order CDs on the Internet. Each CD costs $15.99, and shipping for the entire order is $9.99. Mitchell has no more than $100 to spend. What is the maximum number of CDs that Mitchell can order?

Answer 1

Hello!

The answer is: Mitchell can order a maximum of 5 CDs.

Why?

Let's make the entire shipping cost apart to calculate the actual money amount Mitchell could spend just buying CDs,

`Money To Spend = CDsPrice+ShippingPrice\\100=CDsPrice+9,99\\CDsPrice=100-9,99=90,1`

So, he will be able to spend 90,1 $

In order to calculate how many CDs Mitchell could buy with 90,1$, she/he should divide the total available amount by the CDs price which is 15,99$

Doing the calculation we have:

`(90,1)/(15,99) = 5,62`

So, since a CD is an indivisible object, Mitchell can order a maximum of 5 CDs.

Have a nice day!

Answer 2

maximum 5 CDs

Explanation:

Let Mitchell can order a maximum of x CDs

It has been given that each CD costs $15.99, and shipping for the entire order is $9.99.

Thus, we have the total cost for x CDs

`15.99x+9.99`

Now, Mitchell has no more than $100 to spend. It means

`15.99x+9.99<100`

Subtract 9.99 to both sides

`15.99x<100-9.99\\\\15.99x<90.01`

Divide both sides by 15.99

`x<5.62`

Hence, Mitchell can order maximum 5 CDs