asked 41.0k views
5 votes
Write an equation for each problem. Then solve the problem.

1. 75% of the tickets to the concert in the auditorium were sold. The auditorium has 1,200 seats. How many tickets were sold?

2. Wei Lu needs new tires. Tires are regularly priced at $48.00 each, but they are on sale for 20% off the regular price. What is the sale price of tires?

3. Janine bought a new blouse for 25% off. The blouse was originally $28.00. What was the sale price?

asked
User Quezler
by
7.0k points

1 Answer

5 votes

Answer:

Multiple questions. See answer and explanations below.

Explanation:

Percentages are a number with a unit (the percentage sign). To convert between percentages and regular numbers, remember that 100% = 1.

For instance, if you ate 1 cookie, you ate 100% of it.

If you work regularly with dollars and cents, you can imagine percents are cents, and the real number is the dollar equivalent. If you have 100 cents (pennies), that's 1 dollar. If you have 37 cents, that's 0.37 dollars.

Often percentages are used to represent a part of a whole (percentages less than 100%), although percentages can be used to represent more than one whole (percentages above 100%).

Problem 1.

In this case, 75% of the tickets were sold.

75% ==> 0.75

Often in math story problems especially involving percentages, "of" means multiply. So, 75% of the tickets, means multiply 0.75 * the number of tickets.

0.75 * 1200 = 900 tickets sold

Problem 2.

In this case, each tire is normally $48.00. Now, they're 20% off.

When something is a "percentage off", we need to find what that percentage of the whole is, and subtract it off the original value.

20% of 48 dollars is

0.20 * 48 = 9.60

So, $48 - $9.60 = $38.40

The sale price is $38.40

Problem 3.

For this problem, the blouse was originally 28 dollars. If the bought it for 25% off, we need to subtract 25% of the original 28 from the original $28 price

First, we'll find 25% of the original 28

0.25 * 28 = 7

Second, we'll subtract this off the original price

28 - 7 = 21

The sale price was $21.

answered
User AJStacy
by
8.7k points
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