Problem preview
MF.RN.8 Challenge MF-014-A13-V01

Solve discount, markup, tax, tip, and simple interest style percent problems.

Choose a smart percent-application strategy

Problem

A \(\$64\) backpack has \(7.5\%\) sales tax. Consider these methods: A, find \(7.5\%~\text{of}~64\) and add it; B, find \(64\%~\text{of}~7.5\); C, subtract \(7.5\%\); D, multiply \(64\) by \(7.5\). Choose the method that works, then calculate the total cost.

Big Picture

What this problem is really about

A valid sales-tax method applies the rate to the original sixty-four-dollar price and then adds the tax because the question asks for total cost. We’ll identify the method with that structure, convert seven point five percent to a decimal, calculate the tax, and add it. Subtracting the original price from the total checks the intermediate charge.

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Four variants of this problem type
Curriculum context
Standard
MF.RN.8
Category
Rational Numbers
Domain
Percents
Objective
Solve discount, markup, tax, tip, and simple interest style percent problems.
Problem type
Choose a smart percent-application strategy