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Step-4

Title: Ratio

Grade: 6-a Lesson: S3-L7

Explanation: Let us verify the answer here with the steps.

Lesson Steps Head1

Step	Type	Explanation	Answer
1	Problem	The ratio of Maths to English students is 11:17; if the total number of students in class is 112, then calculate how many math students are there.
2	Hint	Consider x for the unknown number of students.
3	Step	The ratio of maths to English students is	11x:17x
4	Step	The number of students is equal to the sum of math and English students ratios is 112	11x + 17x = 112
5	Step	After simplification, we get	28x = 112 \$x = cancel112^4 / cancel28^1\$
6	Step	So the value of x is	x = 4
7	Step	Now calculate the number of math students in class, substitute x value in math students ratio we get	⇒ 11x \$11 times 4 = 44\$
8	Step	So the number of math students in the class is 44
9		Answer	B

Step

Type

Explanation

Answer

Problem

The ratio of Maths to English students is 11:17; if the total number of students in class is 112, then calculate how many math students are there.

Hint

Consider x for the unknown number of students.

Step

The ratio of maths to English students is

11x:17x

Step

The number of students is equal to the sum of math and English students ratios is 112

11x + 17x = 112

Step

After simplification, we get

28x = 112

\$x = cancel112^4 / cancel28^1\$

Step

So the value of x is

x = 4

Step

Now calculate the number of math students in class, substitute x value in math students ratio we get

⇒ 11x

\$11 times 4 = 44\$

Step

So the number of math students in the class is 44

Answer