# 3.2 Solve percent applications  (Page 7/18)

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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

What is the lcm of 340
How many numbers each equal to y must be taken to make 15xy
15x
Martin
15x
Asamoah
15x
Hugo
1y
Tom
1y x 15y
Tom
find the equation whose roots are 1 and 2
(x - 2)(x -1)=0 so equation is x^2-x+2=0
Ranu
I believe it's x^2-3x+2
NerdNamedGerg
because the X's multiply by the -2 and the -1 and than combine like terms
NerdNamedGerg
find the equation whose roots are -1 and 4
Ans = ×^2-3×+2
Gee
find the equation whose roots are -2 and -1
(×+1)(×-4) = x^2-3×-4
Gee
there's a chatting option in the app wow
Nana
That's cool cool
Nana
Nice to meet you all
Nana
you too.
Joan
😃
Nana
Hey you all there are several Free Apps that can really help you to better solve type Equations.
Debra
Debra, which apps specifically. ..?
Nana
am having a course in elementary algebra ,any recommendations ?
samuel
Samuel Addai, me too at ucc elementary algebra as part of my core subjects in science
Nana
me too as part of my core subjects in R M E
Ken
at ABETIFI COLLEGE OF EDUCATION
Ken
ok great. Good to know.
Joan
5x + 1/3= 2x + 1/2
sanam
Plz solve this
sanam
5x - 3x = 1/2 - 1/3 2x = 1/6 x = 1/12
Ranu
Thks ranu
sanam
a trader gains 20 rupees loses 42 rupees and then gains ten rupees Express algebraically the result of his transactions
a trader gains 20 rupees loses 42 rupees and then gains 10 rupees Express algebraically the result of his three transactions
vinaya
a trader gains 20 rupees loses 42 rupees and then gains 10 rupees Express algebraically the result of his three transactions
vinaya
a trader gains 20 rupees loses 42 rupees and then gains 10 rupees Express algebraically the result of his three transactions
vinaya
Kim is making eight gallons of punch from fruit juice and soda. The fruit juice costs $6.04 per gallon and the soda costs$4.28 per gallon. How much fruit juice and how much soda should she use so that the punch costs $5.71 per gallon? Mohamed Reply (a+b)(p+q+r)(b+c)(p+q+r)(c+a) (p+q+r) muhammad Reply 4x-7y=8 2x-7y=1 what is the answer? Ramil Reply x=7/2 & y=6/7 Pbp x=7/2 & y=6/7 use Elimination Debra true bismark factoriz e usman 4x-7y=8 X=7/4y+2 and 2x-7y=1 x=7/2y+1/2 Peggie Ok cool answer peggie Frank thanks Ramil copy and complete the table. x. 5. 8. 12. then 9x-5. to the 2nd power+4. then 2xto the second power +3x Sandra Reply What is c+4=8 Penny Reply 2 Letha 4 Lolita 4 Rich 4 thinking C+4=8 -4 -4 C =4 thinking I need to study Letha 4+4=8 William During two years in college, a student earned$9,500. The second year, she earned $500 more than twice the amount she earned the first year. Nicole Reply 9500=500+2x Debra 9500-500=9000 9000÷2×=4500 X=4500 Debra X + Y = 9500....... & Y = 500 + 2X so.... X + 500 + 2X = 9500, them X = 3000 & Y = 6500 Pbp Bruce drives his car for his job. The equation R=0.575m+42 models the relation between the amount in dollars, R, that he is reimbursed and the number of miles, m, he drives in one day. Find the amount Bruce is reimbursed on a day when he drives 220 miles. Josh Reply Reiko needs to mail her Christmas cards and packages and wants to keep her mailing costs to no more than$500. The number of cards is at least 4 more than twice the number of packages. The cost of mailing a card (with pictures enclosed) is $3 and for a package the cost is$7.
hey
Juan
Sup
patrick
The sum of two numbers is 155. The difference is 23. Find the numbers
The sum of two numbers is 155. Their difference is 23. Find the numbers
Michelle
The difference between 89 and 66 is 23
Ciid
Joy is preparing 20 liters of a 25% saline solution. She only has 40% and 10% solution in her lab. How many liters of the 40% and how many liters of the 10% should she mix to make the 25% solution?
hello
bismark
I need a math tutor BAD
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Me too
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Xavier
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Bishal
teet
Bishal
my answer is y10 that right
misty