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Title: Ratios

Grade: 8-a Lesson: S2-L4

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

Description:

Step	Type	Explanation	Answer
1	Problem	What must be added to each term of the ratio 3:4, so thay it may become equal to 5:6?
2	Hint	Operator used : Ratio	:
3	Step	The ratio to which the term to be added	3:4
4	Step	Let the number to be added to each term be	'x'
5	Step	Then	\$3+x\$ : \$4+x\$ = \$5:6\$
6	Step	On simplification	\$(3+x)/(4+x)\$ = \$5/6\$ ⇒ \$6(3+x)\$ = \$5(4+x)\$ ⇒ \$18+6x\$ = \$20+5x\$ ⇒ \$6x-5x\$ = \$20-18\$ ⇒ \$x\$ = \$2\$
7		=	\$x\$ = \$2\$
8	Step	Hence, the term to be added to 3:4 to become 5:6	2

Step

Type

Explanation

Answer

Problem

What must be added to each term of the ratio 3:4, so thay it may become equal to 5:6?

Hint

Operator used : Ratio

Step

The ratio to which the term to be added

3:4

Step

Let the number to be added to each term be

'x'

Step

Then

\$3+x\$ : \$4+x\$ = \$5:6\$

Step

On simplification

\$(3+x)/(4+x)\$ = \$5/6\$

⇒ \$6(3+x)\$ = \$5(4+x)\$

⇒ \$18+6x\$ = \$20+5x\$

⇒ \$6x-5x\$ = \$20-18\$

⇒ \$x\$ = \$2\$

\$x\$ = \$2\$

Step

Hence, the term to be added to 3:4 to become 5:6