# 6.2 Solve general applications of percent  (Page 2/7)

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We will update the strategy we used in our earlier applications to include equations now. Notice that we will translate a sentence into an equation.

## Solve an application

1. Identify what you are asked to find and choose a variable to represent it.
2. Write a sentence that gives the information to find it.
3. Translate the sentence into an equation.
4. Solve the equation using good algebra techniques.
5. Check the answer in the problem and make sure it makes sense.
6. Write a complete sentence that answers the question.

Now that we have the strategy to refer to, and have practiced solving basic percent equations, we are ready to solve percent applications. Be sure to ask yourself if your final answer makes sense—since many of the applications we'll solve involve everyday situations, you can rely on your own experience.

Dezohn and his girlfriend enjoyed a dinner at a restaurant, and the bill was $\text{68.50}.$ They want to leave an $\text{18%}$ tip. If the tip will be $\text{18%}$ of the total bill, how much should the tip be?

## Solution

 What are you asked to find? the amount of the tip Choose a variable to represent it. Let $t=$ amount of tip. Write a sentence that give the information to find it. The tip is 18% of the total bill. Translate the sentence into an equation. Multiply. Check. Is this answer reasonable? If we approximate the bill to $70 and the percent to 20%, we would have a tip of$14. So a tip of $12.33 seems reasonable. Write a complete sentence that answers the question. The couple should leave a tip of$12.33.

Cierra and her sister enjoyed a special dinner in a restaurant, and the bill was $\text{81.50}.$ If she wants to leave $\text{18%}$ of the total bill as her tip, how much should she leave?

$14.67 Kimngoc had lunch at her favorite restaurant. She wants to leave $\text{15%}$ of the total bill as her tip. If her bill was $\text{14.40},$ how much will she leave for the tip?$2.16

The label on Masao's breakfast cereal said that one serving of cereal provides $85$ milligrams (mg) of potassium, which is $\text{2%}$ of the recommended daily amount. What is the total recommended daily amount of potassium?

## Solution

 What are you asked to find? the total amount of potassium recommended Choose a variable to represent it. Let $a=$ total amount of potassium. Write a sentence that gives the information to find it. 85% mg if 2% of the total amount. Translate the sentence into an equation. Divide both sides by 0.02. Simplify. Check: Is this answer reasonable? Yes. 2% is a small percent and 85 is a small part of 4,250. Write a complete sentence that answers the question. The amount of potassium that is recommended is 4250 mg.

One serving of wheat square cereal has $7$ grams of fiber, which is $\text{29%}$ of the recommended daily amount. What is the total recommended daily amount of fiber?

24.1 grams

One serving of rice cereal has $190$ mg of sodium, which is $\text{8%}$ of the recommended daily amount. What is the total recommended daily amount of sodium?

2,375 mg

Mitzi received some gourmet brownies as a gift. The wrapper said each brownie was $480$ calories, and had $240$ calories of fat. What percent of the total calories in each brownie comes from fat?

## Solution

 What are you asked to find? the percent of the total calories from fat Choose a variable to represent it. Let $p=$ percent from fat. Write a sentence that gives the information to find it. What percent of 480 is 240? Translate the sentence into an equation. Divide both sides by 480. Simplify. Convert to percent form. Check. Is this answer reasonable? Yes. 240 is half of 480, so 50% makes sense. Write a complete sentence that answers the question. Of the total calories in each brownie, 50"% is fat.

where we get a research paper on Nano chemistry....?
nanopartical of organic/inorganic / physical chemistry , pdf / thesis / review
Ali
what are the products of Nano chemistry?
There are lots of products of nano chemistry... Like nano coatings.....carbon fiber.. And lots of others..
learn
Even nanotechnology is pretty much all about chemistry... Its the chemistry on quantum or atomic level
learn
da
no nanotechnology is also a part of physics and maths it requires angle formulas and some pressure regarding concepts
Bhagvanji
hey
Giriraj
Preparation and Applications of Nanomaterial for Drug Delivery
revolt
da
Application of nanotechnology in medicine
what is variations in raman spectra for nanomaterials
ya I also want to know the raman spectra
Bhagvanji
I only see partial conversation and what's the question here!
what about nanotechnology for water purification
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
Damian
yes that's correct
Professor
I think
Professor
Nasa has use it in the 60's, copper as water purification in the moon travel.
Alexandre
nanocopper obvius
Alexandre
what is the stm
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
Rafiq
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
Damian
How we are making nano material?
what is a peer
What is meant by 'nano scale'?
What is STMs full form?
LITNING
scanning tunneling microscope
Sahil
how nano science is used for hydrophobicity
Santosh
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
Rafiq
what is differents between GO and RGO?
Mahi
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
Rafiq
if virus is killing to make ARTIFICIAL DNA OF GRAPHENE FOR KILLED THE VIRUS .THIS IS OUR ASSUMPTION
Anam
analytical skills graphene is prepared to kill any type viruses .
Anam
Any one who tell me about Preparation and application of Nanomaterial for drug Delivery
Hafiz
what is Nano technology ?
write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
Is there any normative that regulates the use of silver nanoparticles?
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
why we need to study biomolecules, molecular biology in nanotechnology?
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
why?
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
A soccer field is a rectangle 130 meters wide and 110 meters long. The coach asks players to run from one corner to the other corner diagonally across. What is that distance, to the nearest tenths place.
Jeannette has $5 and$10 bills in her wallet. The number of fives is three more than six times the number of tens. Let t represent the number of tens. Write an expression for the number of fives.
What is the expressiin for seven less than four times the number of nickels
How do i figure this problem out.
how do you translate this in Algebraic Expressions
why surface tension is zero at critical temperature
Shanjida
I think if critical temperature denote high temperature then a liquid stats boils that time the water stats to evaporate so some moles of h2o to up and due to high temp the bonding break they have low density so it can be a reason
s.
Need to simplify the expresin. 3/7 (x+y)-1/7 (x-1)=
. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?