Question

Question 1 Write and solve a proportion to answer the question. 34 is 60% of what number? 34w= Question 2 w= .

Answer 1

Answer:

56.67. 100% of 56.67 is 56.67, therefore 60 percent of 56.67 equals 34.

Step-by-step explanation:

Formula = Number x 100

Percent = 34 x 100

60 = 56.67

Following shows the steps on how to derive this formula and find out 60% of what number is 34.

Step 1: If 60% of a number is 34, then what is 100% of that number? Setup the equation.

34

60% = Y

100%

Step 2: Solve for Y

Using cross multiplication of two fractions, we get

60Y = 34 x 100

60Y = 3400

Y = 3400

100 = 56.67

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Answer 2

Answer:

∴ The required number is $56.66$.

      ∴ $60$% of $56.66$ is $34$.

Step-by-step explanation:

• In context to question asked,
• We have to find the number of which $60$% is $34$.
• Let, $x$ be the required number.
• To find the number, we have to find $60$% of $x$ which is $34$.
• So, the required equation is,

         $60$% of $x$ = $34$

          ∴ $\frac{60}{100} \times x=34$

• Transpose $100$ to other side, we get

               ∴ $60x=34\times 100$

               ∴ $60x=3400$

• Transpose $60$ to other side, we get

                 ∴ $x=\frac{3400}{60}$

                 ∴ $x=56.66$

• ∴ The required number is $56.66$.

      ∴ $60$% of $56.66$ is $34$.