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Step-3

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	What should be added to both terms of 18:32, so that the ratio becomes 3:5.
2	Hint	Operator used : Ratio	:
3	Step	Current ratio = 18:32	\$18/32\$
4	Step	New ratio	3:5 = \$3/5\$
5	Step	Let the number added to both terms	\$x\$ ⇒ \$(18 + x)/(32 + x) = 3/5\$
6	Step	On Simplification	⇒ \$5(18 + x) = 3(32 + x)\$ ⇒ \$90 + 5x = 96 + 3x\$ ⇒ \$5x - 3x = 96 - 90\$ ⇒ \$\cancel2^1x = \cancel6^3\$
7		=	\$x = 3\$
8	Step	Therefore, '3' should be added to both terms of 18:32	so that the ratio becomes 3:5

Step

Type

Explanation

Answer

Problem

What should be added to both terms of 18:32, so that the ratio becomes 3:5.

Hint

Operator used : Ratio

Step

Current ratio = 18:32

\$18/32\$

Step

New ratio

3:5 = \$3/5\$

Step

Let the number added to both terms

\$x\$ ⇒ \$(18 + x)/(32 + x) = 3/5\$

Step

On Simplification

⇒ \$5(18 + x) = 3(32 + x)\$
⇒ \$90 + 5x = 96 + 3x\$
⇒ \$5x - 3x = 96 - 90\$ ⇒ \$\cancel2^1x = \cancel6^3\$

\$x = 3\$

Step

Therefore, '3' should be added to both terms of 18:32

so that the ratio becomes 3:5