1

Problem

Solving the Proportion:

\$(2x + 1) : 3\$=\$(x + 2) : 3\$

2

Step

Given Proportion

\$(2x + 1) : 3\$=\$(x + 2) : 3\$

3

Step

First, convert the provided proportion into a fraction:

\$(2x + 1) / 3\$=\$(x + 2) / 3\$

4

Step

To solve the proportion, begin by cross-multiplying:

\$(2x + 1)3\$=\$(x + 2)3\$

⇒6x + 3 = 3x + 6

5

Step

The value of x is:

3x = 3

x = 1

6

Solution

Finally, the simplified proportion is x = 1.

7

Sumup

Please summarize steps

Choices

8

Choice-A

This is incorrect because the solution is x=1, not 3

Wrong 3

9

Choice-B

This is incorrect because the solution is x=1, not 2

Wrong 2

10

Choice-C

This is incorrect because the solution is x=1, not 4

Wrong 4

11

Choice-D

It is the correct solution to the given proportion

Correct 1

12

Answer

Option

D

13

Sumup

Please summarize choices