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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 3: Q. 86 (page 333)

What percent of $1800$ is $846 ?$

Short Answer

Expert verified

$846$ is $47 %$ of $1800$ .

Step by step solution

01

Step 1. Given Information

The value is $1800 .$

The final amount is $846 .$

02

Step 2. Translate into algebra

Let p is a percentage.

So, algebra is

$1800 \cdot p = 846$

03

Step 3. Simplify

By proceeding with the calculation further

$1800 \cdot p = 846 p = \frac{846}{1800} p = 0.47$

04

Step 4. Convert to percent

To convert into percent multiply the value of pby $100 % .$

So,

$p = 0.47 \times 100 % p = 47 %$

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Most popular questions from this chapter

Carolyn has $ $2.55$ in her purse in nickels and dimes. The number of nickels is nine less than three times the number of dimes. Find the number of each type of coin.

Rachelle has $ $6.30$ in nickels and quarters in her coin purse. The number of nickels is twice the number of quarters. How many coins of each type does she have?

Find ⓐ the amount of discount and ⓑ the sale price:

Oscar bought a barbecue that was discounted $65$ % from an original price of $ $395$ .

Alison has three times as many dimes as quarters in her purse. She has $$ 9.35$ altogether. How many coins of each type does she have?

Find ⓐ the amount of mark-up and ⓑ the list price.

Jim’s music store bought a guitar at original cost $ $1200$ . Jim marked the price up $50$ %.

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