Chapter 2: Q. 2.39 (page 121)

Translate and solve: ⓐ What number is $45 %$ of $80$ ? ⓑ $7.5 %$ of what amount is $$ 1.95$ ? ⓒ $110$ is what percent of $88$ ?

Short Answer

Expert verified

a). $36$ is the number

b). localid="1644354121740" $$ 2.6$ is the amount

c). $125 %$

Step by step solution

Part (a). Step 1. Assume the number,

Let the result is an unknown number $' n'$ .

Part (a) step 2. Form the equation.

Statement given in the question is, " $45 %$ of $80$ is an unknown number".

So the equation will be,

localid="1644352406588" $0.45 \times 80 = n n = 36$

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

Question states that, " $7.5 %$ of an unknown amount is $$ 1.95$ ? "

Let the unknown amount is $' n'$ .

Equation for the statement will be,

$0.75 \times n = 1.95$

Part (b). Step 2. Divide the equation by 0.75,

$\frac{0.75 n}{0.75} = \frac{1.95}{0.75}$

$n = 2.6$

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

Question is, " $110$ is what percent of $88$ ?"

Let the percent is $n %$ .

Equation for the statement will be,

$88 \times \frac{n}{100} = 110$

Part (c). Step 2. Multiply each side of the equation by 10088,

$\frac{88 n}{100} \times \frac{100}{88} = 110 \times \frac{100}{88} n = 125 %$

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Translate and solve: ⓐ What number is $45 %$ of $80$ ? ⓑ $7.5 %$ of what amount is $$ 1.95$ ? ⓒ $110$ is what percent of $88$ ?

Short Answer

Step by step solution

Part (a). Step 1. Assume the number,

Part (a) step 2. Form the equation.

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

Part (b). Step 2. Divide the equation by 0.75,

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

Part (c). Step 2. Multiply each side of the equation by 10088,

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Translate and solve: ⓐ What number is 45%of 80? ⓑ7.5%of what amount is $1.95? ⓒ 110is what percent of88?

Short Answer

Step by step solution

Part (a). Step 1. Assume the number,

Part (a) step 2. Form the equation.

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

Part (b). Step 2. Divide the equation by 0.75,

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

Part (c). Step 2. Multiply each side of the equation by 10088,

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Logic and Functions

Applied Mathematics

Theoretical and Mathematical Physics

Geometry

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Translate and solve: ⓐ What number is $45 %$ of $80$ ? ⓑ $7.5 %$ of what amount is $$ 1.95$ ? ⓒ $110$ is what percent of $88$ ?