Question

The students at Woodward Elementary voted for a school mascot. The falcon won with 5/8 of the votes and the eagle came second with 1/3 of the remaining votes. If 536 students voted for a mascot, how many students voted for the eagle?

Answer 1

To find the number of votes the eagle received, calculate 5/8 of the total votes for the falcon and subtract it from the total to find the remaining votes. Then, determine 1/3 of that remainder to find the eagle's votes.

Step-by-step explanation:

Step 1: Find the total number of students who voted for the falcon.

Since the falcon won with 5/8 of the votes, we can calculate the number of students who voted for the falcon by multiplying the total number of votes by 5/8:

Number of falcon votes = 5/8 × 536 votes = 335 votes

Step 2: Find the remaining number of votes after the falcon votes are accounted for.

To find the remaining number of votes, we can subtract the number of falcon votes from the total number of votes:

Remaining votes = 536 votes - 335 votes = 201 votes

Step 3: Find the number of students who voted for the eagle.

The eagle came second with 1/3 of the remaining votes. So, we can calculate the number of students who voted for the eagle by multiplying the remaining votes by 1/3:

Number of eagle votes = 1/3 × 201 votes = 67 votes

Therefore, 67 students voted for the eagle.

Answer 2

178.67

Step-by-step explanation:

One third written as a fraction is 1/3. You can also write it as a decimal by simply dividing 1 by 3 which is 0.33.

If you multiply 0.33 with 536 you will see that you will end up with the same answer as above.

You may also find it useful to know that if you multiply 0.33 with 100 you get 33.33. Which means that our answer of 178.67 is 33.33 percent of 536.