Percent Equations
Key Questions
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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
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One-Step Equations and Inverse Operations
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Applications of One-Step Equations
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Two-Step Equations and Properties of Equality
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Multi-Step Equations with Like Terms
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Distributive Property for Multi-Step Equations
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Equations with Variables on Both Sides
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Equations with Ratios and Proportions
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Scale and Indirect Measurement Applications
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Conversion of Decimals, Fractions, and Percent
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Percent Equations
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Percent of Change
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Formulas for Problem Solving