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Title: Ratios

Grade: 8-a Lesson: S2-L1

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

Description:

Step	Type	Explanation	Answer
1	Problem	The ratio of girls to boys in a class was 3:5. There were 21 girls. How many boys were there in a class?
2	Hint	Operator used : Ratio	:
3	Step	According to the problem	there are 3 girls for every 5 boys.
4	Step	The number of girls divided by number of boys	\$3/5\$
5	Step	The number of girls in a class	\$21\$
6	Step	Let the number of boys in a class	\$x\$
7	Step	On simplification	\$\cancel21^7/x = \cancel3^1/5\$ ⇒ \$7/x = 1/5\$ ⇒ \$(1) \times x = 7 \times (5)\$
8		=	\$x = 35\$
9	Step	Therefore, the number of women in a class	35

Step

Type

Explanation

Answer

Problem

The ratio of girls to boys in a class was 3:5. There were 21 girls. How many boys were there in a class?

Hint

Operator used : Ratio

Step

According to the problem

there are 3 girls for every 5 boys.

Step

The number of girls divided by number of boys

\$3/5\$

Step

The number of girls in a class

\$21\$

Step

Let the number of boys in a class

\$x\$

Step

On simplification

\$\cancel21^7/x = \cancel3^1/5\$ ⇒ \$7/x = 1/5\$

⇒ \$(1) \times x = 7 \times (5)\$

\$x = 35\$

Step

Therefore, the number of women in a class