Question

Last month a certain music club offered a discount to preferred customers. After the first compact disc purchased, preferred customers paid 3.99$foreachadditionalcompactdiscpurchased.Ifapreferredcustomerpurchasedatotalof$6$compactdiscsandpaid$\ $15.95$ for the first compact disc, then the dollar amount that the customer paid for the $6$ compact discs is equivalent to which of the following?

• A. $5\left(4.00\right)+15.90$
• B. $5\left(4.00\right)+15.95$
• C. $5\left(4.00\right)+16.00$
• D. $5(4.00-0.01)+15.90$
• E. $5(4.00-0.05)+15.95$

Answer 1

The correct option is A $5\left(4.00\right)+15.90$

The cost of the $6$ compact discs, with 15.95$forthefirstoneand$\ $3.99$ for the other $5$ discs, can be expressed as $5\left(3.99\right)+15.95$. It is clear from looking at the answer choices that some regrouping of the values is needed because none of the answer choices uses 3.99$ in the calculation.

If 4.00$isusedinsteadof$\ $3.99$, each one of the $5$ additional compact discs is calculated at 0.01$toomuch,andthetotalcostis$5(0.01) =\ $0.05$ too high. There is an overage of 0.05$thatmustbesubtractedfromthe$\ $15.95$, or thus 15.95 - $0.05=$15.90$.Therefore,thecostcanbeexpressedas$5(4.00) + 15.90$.

The correct answer is A.