How many exercises have you already done? The percent proportion is a proportion that equates a part of a whole to a percent out of 100.
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Practice makes perfect
We can first find the number of exercises we already finished to find how many we still need to do. This means finding 75% of 32. Recall that 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 wwith the given proportion.
part/whole=percent/100 ⇔ a/w=p/100We can find what 75% of 32 is by thinking about 75 as the percent and 32 as the whole. Let's substitute p= 75 and w= 32 into the formula and solve for a using the Properties of Equality.
Knowing the value of a, let's look at the completed percent proportion.
24/32=75/100
We found that 24 is 75 % of 32. This means that we already finished 24 out of assigned 32 exercises. Now, we can subtract 24 from 32 to find how many more we still need to complete.
32-24=8
This means we have 8 more exercises left to do after dinner.
