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The percent proportion is a proportion that equates a part of a whole to a percent out of 100.
Answer: 50
Model:
We want to find what number's 30% is 15 by using a model. We can split the model into intervals of 10%. There are 10 such intervals in 100%. Since 30=10* 3, we can represent 30% by three such intervals. Let's find what number's 30% is 15!
We found that 15 is 30 % of 50.
We can check our answer by solving the percent proportion. The percent proportion is a proportion that sets the ratio of a part of a whole equal to the ratio of a percent out of 100. We can represent a is p percent of w
with the given proportion.
part/whole=percent/100 ⇔ a/w=p/100
We can find what number's 30% is 15 by thinking about 30 as the percent and 15 as a part of the whole. Let's substitute a= 15 and p= 30 into the formula and solve for w using the Properties of Equality.
a= 15, p= 30
LHS * w=RHS* w
a/w* w = a
a/c* b = a* b/c
LHS * 100=RHS* 100
a/100* 100 = a
Multiply
.LHS /30.=.RHS /30.
Calculate quotient
Rearrange equation
Knowing the value of w, let's look at the completed percent proportion. 15/50=30/100