Step-1

Title: Proportion

Grade: 8-a Lesson: S2-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

Answer

B


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