Chapter 2: Q2A. (page 92)

A music store has sold $\frac{3}{5}$ of their hip-hop CDs, but 10 were returned. Now the store has 62 hip-hop CDs. How many were there originally?

Short Answer

Expert verified

The number of hip-hop CDs in the music store were 130.

Step by step solution

Step 1. Make the equation.

Assume that the total hip-hop CDs in the store is x.

The number of CDs sold is $\frac{3}{5} x$ .

Remaining CDs are $\frac{2}{5} x$ .

Also 10 CDs were returned. Now the equation is $\frac{2}{5} x + 10 = 62$ .

Step 2. Isolate the variable.

$\begin{array}{l} \frac{2}{5} x + 10 = 62 \\ \frac{2}{5} x = 62 - 10 \\ \frac{2}{5} x = 52 \end{array}$

Step 3. Find the value of x from the equation.

$\begin{array}{l} 2 x = 52 \times 5 \\ 2 x = 260 \\ x = \frac{260}{2} \\ x = 130 \end{array}$

Thus, the number of hip-hop CDs in the music store were 130.

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A music store has sold $\frac{3}{5}$ of their hip-hop CDs, but 10 were returned. Now the store has 62 hip-hop CDs. How many were there originally?

Short Answer

Step by step solution

Step 1. Make the equation.

Step 2. Isolate the variable.

Step 3. Find the value of x from the equation.

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A music store has sold35 of their hip-hop CDs, but 10 were returned. Now the store has 62 hip-hop CDs. How many were there originally?

Short Answer

Step by step solution

Step 1. Make the equation.

Step 2. Isolate the variable.

Step 3. Find the value of x from the equation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Applied Mathematics

Geometry

Probability and Statistics

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Study anywhere. Anytime. Across all devices.

A music store has sold $\frac{3}{5}$ of their hip-hop CDs, but 10 were returned. Now the store has 62 hip-hop CDs. How many were there originally?