Chapter 2: Q. 2.40 (page 121)

Translate and solve: ⓐ What number is $55 %$ of $60$ ? ⓑ $8.5 %$ of what amount is $$ 3.06$ ? ⓐ $126$ is what percent of $72$ ?

Short Answer

Expert verified

a). $33$ is the number

b). $$ 36$ is the amount

c). $175 %$

Step by step solution

Part (a). Step 1. Form the equation.

Question states, " What number is $55 %$ of $60$ ?"

Let the number is $' n'$

Equation for the statement will be,

$n = \frac{55}{100} \times 60$

$n = 33$

Part (b). Step 1. Form the equation.

Question states that, " $8.5 %$ of what amount is $$ 3.06$ ?"

Let the amount is $$ n$ .

Equation for the statement will be,

$\frac{8.5}{100} \times n = 3.06$

$0.085 n = 3.06$

Part (b). Step 2. Divide the equation by 0.085,

$\frac{0.085 n}{0.085} = \frac{3.06}{0.085}$

$n = 36$

Part (c). Step 1. Form the equation.

Question is, "126 is what percent of $72$ ?"

Let the percent is $n %$

Equation for the question will be,

$\frac{n}{100} \times 72 = 126$

$0.72 n = 126$

Part (c). Step 2. Divide the equation by 0.72,

$\frac{0.72 n}{0.72} = \frac{126}{0.72}$

$n = 175 %$

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Translate and solve: ⓐ What number is $55 %$ of $60$ ? ⓑ $8.5 %$ of what amount is $$ 3.06$ ? ⓐ $126$ is what percent of $72$ ?

Short Answer

Step by step solution

Part (a). Step 1. Form the equation.

Part (b). Step 1. Form the equation.

Part (b). Step 2. Divide the equation by 0.085,

Part (c). Step 1. Form the equation.

Part (c). Step 2. Divide the equation by 0.72,

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Translate and solve: ⓐ What number is 55%of 60? ⓑ8.5%of what amount is $3.06? ⓐ126 is what percent of72?

Short Answer

Step by step solution

Part (a). Step 1. Form the equation.

Part (b). Step 1. Form the equation.

Part (b). Step 2. Divide the equation by 0.085,

Part (c). Step 1. Form the equation.

Part (c). Step 2. Divide the equation by 0.72,

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Theoretical and Mathematical Physics

Pure Maths

Applied Mathematics

Decision Maths

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Translate and solve: ⓐ What number is $55 %$ of $60$ ? ⓑ $8.5 %$ of what amount is $$ 3.06$ ? ⓐ $126$ is what percent of $72$ ?