Percent Equations
Key Questions

Answer:
See example
Explanation:
Using an example:
Suppose we had a big animal sanctuary for cats and dogs.
We had say 30 cats and 50 dogs
So by proportion we have:
#color(blue)("Using format type 1")# #"cats : dogs " >30:50>3:5# as ratio (proportions)But for
#3:5# we have 3 parts in combination with 5 parts giving a proportion total of#3+5=8# Converting this to fractions and hence percentage
Cats
#=3/(3+5)=3/8 > 3/8xx100% =color(white)("ddd") 37.5%" of the whole"#
Dogs
#=5/(3+5)=5/8>5/8xx100% = color(white)("ddd")ul(62.5%" of the whole" #
#color(white)("ddddddddddddddddd")"Added up ">100.0%" all of the whole"# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(blue)("Using format type 2  Fraction format") # #("cats")/("dogs") >30/50 >3/5 larr" This is NOT a fraction of the whole"# Again we have
#("cats")/("cats + dogs")>3/(3+5)xx100% = 37.5%" of the whole"# #("dogs")/("cats + dogs")>5/(3+5)xx100% =ul( 62.5%" of the whole")#
#color(white)("ddddddddddddddddddddddddddd")100.0%# 
Rememdber that "per" means "divided by", and "cent" means 100, so "percent" means "divided by 100" or "out of 100."
If a question says "A is a 29% of B," then you can write
#A=29/100 B# .
I hope that this was helpful.
Questions
Linear Equations

OneStep Equations and Inverse Operations

Applications of OneStep Equations

TwoStep Equations and Properties of Equality

MultiStep Equations with Like Terms

Distributive Property for MultiStep Equations

Equations with Variables on Both Sides

Equations with Ratios and Proportions

Scale and Indirect Measurement Applications

Conversion of Decimals, Fractions, and Percent

Percent Equations

Percent of Change

Formulas for Problem Solving