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Step-4

Title: Ratio

Grade: 6-a Lesson: S3-L8

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

Lesson Steps Head1

Step	Type	Explanation	Answer
1	Problem	38:43 is the ratio of marks obtained by two friends. If the first friend obtained 89 marks, find the marks obtained by second friend?
2	Formula:	Consider marks Obtained by the 2nd friend is 'x'
3	Step	The ratio of marks obtained 1st friend to 2nd friend is	38 : 43
4	Step	The 1st friend obtained marks is	89
5	Step	The ratio of marks obtained 1st friend to 2nd friend is equal to the ratio of mark obatained by both friends	38 : 43 = 89 : x \$38/43 = 89/x\$
6	Step	After cross multiply, we get	\$38 times x = 89 times 43\$ 38x = 3827
7	Step	Move x coefficient to right side, we get	x = \$3827/38\$ x = 100.71
8	Step	So the marks obtained by the second friend is	100.71
9		Answer	C

Step

Type

Explanation

Answer

Problem

38:43 is the ratio of marks obtained by two friends. If the first friend obtained 89 marks, find the marks obtained by second friend?

Formula:

Consider marks Obtained by the 2nd friend is 'x'

Step

The ratio of marks obtained 1st friend to 2nd friend is

38 : 43

Step

The 1st friend obtained marks is

Step

The ratio of marks obtained 1st friend to 2nd friend is equal to the ratio of mark obatained by both friends

38 : 43 = 89 : x

\$38/43 = 89/x\$

Step

After cross multiply, we get

\$38 times x = 89 times 43\$

38x = 3827

Step

Move x coefficient to right side, we get

x = \$3827/38\$

x = 100.71

Step

So the marks obtained by the second friend is

100.71

Answer