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?

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SociometricStar SociometricStar · Answer 1 · 2019-02-12T05:05:24+01:00

Answer:

maximum 5 CDs

Step-by-step 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

[tex]15.99x+9.99[/tex]

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

[tex]15.99x+9.99<100[/tex]

Subtract 9.99 to both sides

[tex]15.99x<100-9.99\\\\15.99x<90.01[/tex]

Divide both sides by 15.99

[tex]x<5.62[/tex]

Hence, Mitchell can order maximum 5 CDs

mixter17 mixter17 · Answer 2 · 2019-02-12T05:10:12+01:00

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

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

[tex]Money To Spend = CDsPrice+ShippingPrice\\100=CDsPrice+9,99\\CDsPrice=100-9,99=90,1[/tex]

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:

[tex]\frac{90,1}{15,99} = 5,62[/tex]

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

Have a nice day!