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Step-5

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 subtracted to both terms of 17:41, so that the ratio becomes 1:3.
2	Hint	Operator used : Ratio	:
3	Step	Current ratio = 17:41	\$17/41\$
4	Step	New ratio = 1:3	\$1/3\$
5	Step	Let the number subtracted to both terms	\$x\$
6	Step	On Simplification	\$(17 - x)/(41 - x) = 1/3\$
7	Step	On Cancillation	⇒ \$3(17 - x) = 1(41 - x)\$ ⇒ \$51 - 3x = 41 - x\$ ⇒ \$51 - 41 = 3x - x\$ ⇒ \$\cancel2^1x = \cancel10^5\$
8		=	\$x = 5\$
9	Step	Therefore, '5' should be subtracted to both terms of 17:41	so that the ratio becomes 1:3.

Step

Type

Explanation

Answer

Problem

What should be subtracted to both terms of 17:41, so that the ratio becomes 1:3.

Hint

Operator used : Ratio

Step

Current ratio = 17:41

\$17/41\$

Step

New ratio = 1:3

\$1/3\$

Step

Let the number subtracted to both terms

\$x\$

Step

On Simplification

\$(17 - x)/(41 - x) = 1/3\$

Step

On Cancillation

⇒ \$3(17 - x) = 1(41 - x)\$
⇒ \$51 - 3x = 41 - x\$
⇒ \$51 - 41 = 3x - x\$ ⇒ \$\cancel2^1x = \cancel10^5\$

\$x = 5\$

Step

Therefore, '5' should be subtracted to both terms of 17:41

so that the ratio becomes 1:3.