SaiBook.us WordProblems

Home Course Section

Register Enroll Refer

Step-2

Title: Ratios

Grade: 8-a Lesson: S2-L3

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

Description:

Step	Type	Explanation	Answer
1	Problem	Martin gives $50 to his son and daughter in the ratio of 3:5. Find the amount received by the daughter.
2	Hint	Operator used : Ratio	:
3	Step	If a quantity 'x' is divided in ratio of a:b, then the 2 parts are	\$(ax)/(a+b)\$ and \$(bx)/(a+b)\$
4	Step	The sum received by daughter	\$5/(3+5)\$ x \$50\$
5	Step	On simplification	\$5/8\$ x \$\cancel(50)^6.25\$
6		=	5 x 6.25 = 31.25
7	Step	Hence, the sum received by daughter	$31.25

Step

Type

Explanation

Answer

Problem

Martin gives $50 to his son and daughter in the ratio of 3:5. Find the amount received by the daughter.

Hint

Operator used : Ratio

Step

If a quantity 'x' is divided in ratio of a:b, then the 2 parts are

\$(ax)/(a+b)\$ and \$(bx)/(a+b)\$

Step

The sum received by daughter

\$5/(3+5)\$ x \$50\$

Step

On simplification

\$5/8\$ x \$\cancel(50)^6.25\$

5 x 6.25
= 31.25

Step

Hence, the sum received by daughter

$31.25