Step-1

Title: Proportion

Grade: 8-a Lesson: S4-L6

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step Type Explanation Answer

1

Problem

Solving the Proportion \$6 : x\$ = \$32 : 15\$.

2

Step

Given Proportion

\$6 : x\$ = \$32 : 15\$

3

Step

First, convert the provided proportion into a fraction

\$6/x\$ = \$32/15\$

4

Step

To solve the proportion, begin by cross-multiplying

\$(15 \times 6)\$ = \$(32 \times x)\$

⇒ \$90 = 32x\$

5

Step

Divide both sides by the number connected to the variable

\$90/32 = (32x)/32\$

6

Step

The value of x is:

\$x\$ = \$90/32\$ = \$2.8125 \$

7

SumUp

Can you summarize what you’ve understood in the above steps?

8

Choice.A

This is the incorrect answer. It appears to be a close value, but the accurate result is 2.8125

2.8142

9

Choice.B

It is correct because it accurately represents the solution to the given proportion

2.8125

10

Choice.C

This is the incorrect answer. It is a different value, and it does not match the result of the proportion

2.4125

11

Choice.D

This is the incorrect answer. It is close, but the accurate value is 2.8125

2.8152

12

Answer

Option

B

13

SumUp

Can you summarize what you’ve understood in the above steps?


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