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Step-4

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	If a quantity is divided in the ratio of 6:7, the smaller part is 78. Find the quantity.
2	Hint	Operator used : Ratio	:
3	Step	Let the quantity be	\$x\$
4	Step	Then, the two parts will be	\$(6x)/(6+7)\$ and \$(7x)/(6+7)\$
5	Step	The smaller part is	\$78\$
6	Step	Hence, we get	\$(6x)/(6+7)\$ = 78 \$(6x)/13\$ = 78 \$6x\$ = 78 x 13
7			\$x\$ = \$(\cancel(78)^13 X 13) / \cancel(6)^1\$ \$x\$ = 13 x 13 \$x\$ = 169
8	Step	Hence, the quantity is	169

Step

Type

Explanation

Answer

Problem

If a quantity is divided in the ratio of 6:7, the smaller part is 78. Find the quantity.

Hint

Operator used : Ratio

Step

Let the quantity be

\$x\$

Step

Then, the two parts will be

\$(6x)/(6+7)\$ and \$(7x)/(6+7)\$

Step

The smaller part is

\$78\$

Step

Hence, we get

\$(6x)/(6+7)\$ = 78

\$(6x)/13\$ = 78

\$6x\$ = 78 x 13

\$x\$ = \$(\cancel(78)^13 X 13) / \cancel(6)^1\$

\$x\$ = 13 x 13

\$x\$ = 169

Step

Hence, the quantity is

169