# 3.2 Solve percent applications  (Page 7/18)

 Page 7 / 18

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

Jim’s music store bought a guitar at original cost $1,200. Jim marked the price up 50%.$600 $1,800 Find the amount of mark-up and the list price. The Auto Resale Store bought Pablo’s Toyota for$8,500. They marked the price up 35%.

$2,975$11,475

## Key concepts

• Percent Increase To find the percent increase:
1. Find the amount of increase. $\text{increase}=\text{new amount}-\text{original}\phantom{\rule{0.2em}{0ex}}\text{amount}$
2. Find the percent increase. Increase is what percent of the original amount?
• Percent Decrease To find the percent decrease:
1. Find the amount of decrease. $\text{decrease}=\text{original amount}-\text{new}\phantom{\rule{0.2em}{0ex}}\text{amount}$
2. Find the percent decrease. Decrease is what percent of the original amount?
• Simple Interest If an amount of money, P , called the principal, is invested for a period of t years at an annual interest rate r , the amount of interest, I, earned is
$\begin{array}{ccc}\hfill I& =\hfill & Prt\hfill \\ \hfill \text{where}\phantom{\rule{1em}{0ex}}I& =\hfill & \text{interest}\hfill \\ \hfill P& =\hfill & \text{principal}\hfill \\ \hfill r& =\hfill & \text{rate}\hfill \\ \hfill t& =\hfill & \text{time}\hfill \end{array}$
• Discount
• amount of discount is discount rate $·$ original price
• sale price is original price – discount
• Mark-up
• amount of mark-up is mark-up rate $·$ original cost
• list price is original cost + mark up

## Practice makes perfect

Translate and Solve Basic Percent Equations

In the following exercises, translate and solve.

What number is 45% of 120?

54

What number is 65% of 100?

What number is 24% of 112?

26.88

What number is 36% of 124?

250% of 65 is what number?

162.5

150% of 90 is what number?

800% of 2250 is what number?

18,000

600% of 1740 is what number?

28 is 25% of what number?

112

36 is 25% of what number?

81 is 75% of what number?

108

93 is 75% of what number?

8.2% of what number is $2.87?$35

6.4% of what number is $2.88? 11.5% of what number is$108.10?

$940 12.3% of what number is$92.25?

What percent of 260 is 78?

30%

What percent of 215 is 86?

What percent of 1500 is 540?

36%

What percent of 1800 is 846?

30 is what percent of 20?

150%

50 is what percent of 40?

840 is what percent of 480?

175%

790 is what percent of 395?

Solve Percent Applications

In the following exercises, solve.

Geneva treated her parents to dinner at their favorite restaurant. The bill was $74.25. Geneva wants to leave 16% of the total bill as a tip. How much should the tip be?$11.88

When Hiro and his co-workers had lunch at a restaurant near their work, the bill was $90.50. They want to leave 18% of the total bill as a tip. How much should the tip be? Trong has 12% of each paycheck automatically deposited to his savings account. His last paycheck was$2165. How much money was deposited to Trong’s savings account?

$259.80 Cherise deposits 8% of each paycheck into her retirement account. Her last paycheck was$1,485. How much did Cherise deposit into her retirement account?

One serving of oatmeal has eight grams of fiber, which is 33% of the recommended daily amount. What is the total recommended daily amount of fiber?

24.2 g

One serving of trail mix has 67 grams of carbohydrates, which is 22% of the recommended daily amount. What is the total recommended daily amount of carbohydrates?

A bacon cheeseburger at a popular fast food restaurant contains 2070 milligrams (mg) of sodium, which is 86% of the recommended daily amount. What is the total recommended daily amount of sodium?

2407 mg

#### Questions & Answers

find the solution to the following functions, check your solutions by substitution. f(x)=x^2-17x+72
Carlos Reply
Aziza is solving this equation-2(1+x)=4x+10
Sechabe Reply
No. 3^32 -1 has exactly two divisors greater than 75 and less than 85 what is their product?
KAJAL Reply
x^2+7x-19=0 has Two solutions A and B give your answer to 3 decimal places
Adedamola Reply
please the answer to the example exercise
Patricia Reply
3. When Jenna spent 10 minutes on the elliptical trainer and then did circuit training for20 minutes, her fitness app says she burned 278 calories. When she spent 20 minutes onthe elliptical trainer and 30 minutes circuit training she burned 473 calories. How manycalories does she burn for each minute on the elliptical trainer? How many calories doesshe burn for each minute of circuit training?
Edwin Reply
.473
Angelita
?
Angelita
John left his house in Irvine at 8:35 am to drive to a meeting in Los Angeles, 45 miles away. He arrived at the meeting at 9:50. At 3:30 pm, he left the meeting and drove home. He arrived home at 5:18.
DaYoungan Reply
p-2/3=5/6 how do I solve it with explanation pls
Adedamola Reply
P=3/2
Vanarith
1/2p2-2/3p=5p/6
James
don't understand answer
Cindy
4.5
Ruth
is y=7/5 a solution of 5y+3=10y-4
Adedamola Reply
yes
James
don't understand answer
Cindy
Lucinda has a pocketful of dimes and quarters with a value of $6.20. The number of dimes is 18 more than 3 times the number of quarters. How many dimes and how many quarters does Lucinda have? Rhonda Reply Find an equation for the line that passes through the point P ( 0 , − 4 ) and has a slope 8/9 . Gabriel Reply is that a negative 4 or positive 4? Felix y = mx + b Felix if negative -4, then -4=8/9(0) + b Felix -4=b Felix if positive 4, then 4=b Felix then plug in y=8/9x - 4 or y=8/9x+4 Felix Macario is making 12 pounds of nut mixture with macadamia nuts and almonds. macadamia nuts cost$9 per pound and almonds cost $5.25 per pound. how many pounds of macadamia nuts and how many pounds of almonds should macario use for the mixture to cost$6.50 per pound to make?
Cherry Reply
Nga and Lauren bought a chest at a flea market for $50. They re-finished it and then added a 350 % mark - up Makaila Reply$1750
Cindy
the sum of two Numbers is 19 and their difference is 15
Abdulai Reply
2, 17
Jose
interesting
saw
4,2
Cindy
Felecia left her home to visit her daughter, driving 45mph. Her husband waited for the dog sitter to arrive and left home 20 minutes, or 13 hour later. He drove 55mph to catch up to Felecia. How long before he reaches her?
Rafi Reply
hola saben como aser un valor de la expresión
NAILEA

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Source:  OpenStax, Elementary algebra. OpenStax CNX. Jan 18, 2017 Download for free at http://cnx.org/content/col12116/1.2
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