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10 votes
the ratio of students wearing sandals to thoes wearing is 5:1 if there are 30 students in the class and all of them are wearing either sandels or sneakers how many are wearing sandals. P all of them are wearing either sandels or sneakers how many are wearing sandals. PLZ HELP ME

User Eihwaz
by
3.0k points

1 Answer

14 votes
14 votes

Answer:

25

Explanation:

This is how you solve these types of ratio problems.

The ratio of students wearing sandals to sneakers is 5:1.

For example, there could be 5 students wearing sandals and 1 student wearing sneakers. The total then is 5 + 1 = 6.

This is much less than 30, so let's try again by keeping the ratio 5:1 but multiplying both sides by 2.

There could be 10 students wearing sandals and 2 students wearing sneakers. Now the total is 10 + 2 = 12. This is still much less than a total of 30.

Since we don't know what number we need to multiply both 5 and 1 in the ratio by to get a total of 30, let's call that number x.

There are 5x students wearing sandals to 1x students wearing sneakers.

The ratio is

5x : x

When we add the two numbers in the ratio, we must get 30.

5x + x = 30

Solve for x.

6x = 30

x = 5

Now that we know x = 5, and the ratio is 5x sandals to x sneakers, then the number of students wearing sandals is

5x = 5(5) = 25

Answer: 25

User Nelo Mitranim
by
2.4k points
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