Question

Out of the 21 students in Mrs. Clark’s class, 3/7 of the class are boys and 4/7 of the class are girls. How many students in the class are girls and how many are boys?

(Show work)

Answer 1

21/7=3. So, 1/7 of the class is 3 students.
Boys: 3/7 of the class is 3*3=9
Girls: 4/7 of the class is 3*4=12

Answer 2

`\large\boxed{9\,\text{boys and}\,12\,\text{girls}}`

Explanation:

In this question, we're trying to find how many boys and girls are in the class.

Lets get some important information that will help us to answer the question:

Important information:

• 21 students in Mrs. Clark's class
• 3/7 of the class are boys
• 4/7 of the class are girls

With the information above, we can solve the question.

To make this easier, we could turn the fractions into percents.

`3/7 = 0.42857\,\, \text{or}\,\, 0.43 = 43\%\,\, \text{This is for boys}\\\\4/7 = 0.571428\,\, \text{or}\,\, 0.57 = 57\%\,\, \text{This is for girls}`

Now, we could just multiply 21 by the right decimal in order to get the right amount of boys and girls in Mrs. Clark's classroom.

`21 *0.43=9\,\,\text{boys}\\\\21*0.53=12\,\,\text{girls}`

When you solve, you would figure out that there are 9 boys and 12 girls in Mrs. Clark's class.

I hope this helped you out.

Good luck on your academics.

Have a fantastic day!