SOLUTION: 1. the attendance at a school concert this year was 480 people. a. the ratio of adults to children attending 3:2. how many adults attended this years concert? b. the attenda

Question 13176: 1. the attendance at a school concert this year was 480 people.
a. the ratio of adults to children attending 3:2. how many adults attended this years concert?
b. the attendance at this years concert was a 20% increase from last year. how many people attended last year?
and how do you get these answers and the working out please

Answer by akmb1215(68) (Show Source): You can put this solution on YOUR website!
a. In order to do this, you will need to figure out what percent of the people at the concert were adults. Since you know the ratio is 3:2, you know that 3 out of 5 people were adults (I got the 5 by adding the 3 and 2 together to get the total number of people). So, you know that 3/5 of the people were adults. Change this to a percent by first changing the fraction to a decimal (3 divided by 5, wich is .60). Then, change .6 to a percent by moving the decimal two places to the right (60%). You need to figure out what 60% of 480 is. Since "of" means to multiply in math, you can do .6 x 480 (I got .6 by changing the percent to a decimal). This equals 288...there were 288 adults at the concert.
b. If you think of last year's attendance as 100%, then you can think of this year's attendance as 120% (because this year was 20% more than last year). Set this up as an equation, and you get 120%n = 480. To solve, change the percent to a decimal (move the decimal two places to the left): 1.20n = 480. Then, solve the equation by dividing 1.20 by both sides. Your answer: 480 divided by 1.20 = 400 people.
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