Topics
>
Algebra 1>
Ratios, Rates, Proportions>
Find Base from Percent of an Amount (Proportions)>
Find Base from Percent of an Amount (Unitary Method) 1Find Base from Percent of an Amount (Unitary Method) 1
Try VividMath Premium to unlock full access
Time limit: 0
Quiz summary
0 of 4 questions completed
Questions:
- 1
- 2
- 3
- 4
Information
–
You have already completed the quiz before. Hence you can not start it again.
Quiz is loading...
You must sign in or sign up to start the quiz.
You have to finish following quiz, to start this quiz:
Loading...
- 1
- 2
- 3
- 4
- Answered
- Review
-
Question 1 of 4
1. Question
`8%` of an amount is `$40`. Find the original amount.- `$` (500)
Hint
Help VideoCorrect
Excellent!
Incorrect
First, use a rectangle and list down the values: percentages on the left side and amounts on the right side.`\text(Known value)=$40``\text(Percentage of known value)=8%``\text(Percentage of total value)=100%``\text(Total value)=?`
`\text(Proportion Method)`To find the missing value, cross-multiply the fraction of the percentages by the fraction of the given and total value.Let the original amount be `x`$$\frac{\color{#007DDC}{8}}{\color{#e85e00}{100}}$$ `=` $$\frac{\color{#00880A}{40}}{\color{#9a00c7}{x}}$$ `8/100` `=` `40/x` `8timesx` `=` `40times100` Cross multiply `8x` `=` $$4000$$ `8x``divide8` `=` $$4000\color{#CC0000}{\div8}$$ Divide both sides by `8` `x` `=` `500` Hence, `$40` is `8%` of $$\underline{\color{#9a00c7}{$500}}$$`$500``1% \text(Method) -\text(Unitary Method)`First, find the `1%` of the total value by dividing both known values by `8`.`8%` `=` `$40` `8``divide8` `=` `40``divide8` Divide both sides by `8` `1` `=` `5` Hence, `1%` of the original amount is `$5`.To find the total value, which is `100%` of the value, multiply the `1%` value, which is `5`, by `100`.`100%` `=` `5times100` `=` `500` Hence, `$40` is `8%` of $$\underline{\color{#9a00c7}{$500}}$$`$500` -
Question 2 of 4
2. Question
`5%` of an amount is `$135`. Find the original amount.- `$` (2700)
Hint
Help VideoCorrect
Keep Going!
Incorrect
First, use a rectangle and list down the values: percentages on the left side and amounts on the right side.`\text(Known value)=$135``\text(Percentage of known value)=5%``\text(Percentage of total value)=100%``\text(Total value)=?`
`\text(Proportion Method)`To find the missing value, cross-multiply the fraction of the percentages by the fraction of the given and total value.Let the original amount be `x`$$\frac{\color{#007DDC}{5}}{\color{#e85e00}{100}}$$ `=` $$\frac{\color{#00880A}{135}}{\color{#9a00c7}{x}}$$ `5timesx` `=` `135times100` Cross multiply `5x` `=` $$13{,}500$$ `5x``divide5` `=` $$13{,}500\color{#CC0000}{\div5}$$ Divide both sides by `5` `x` `=` `2700` Hence, `$135` is `5%` of $$\underline{\color{#9a00c7}{$2700}}$$`$2700``1% \text(Method) -\text(Unitary Method)`First, find the `1%` of the total value by dividing both known values by `5`.`5%` `=` `$135` `5``divide5` `=` `135``divide5` Divide both sides by `5` `1` `=` `27` Hence, `1%` of the original amount is `$27`.To find the total value, which is `100%` of the value, multiply the `1%` value, which is `27`, by `100`.`100%` `=` `27times100` `=` `2700` Hence, `$135` is `5%` of $$\underline{\color{#9a00c7}{$2700}}$$`$2700` -
Question 3 of 4
3. Question
`3%` of an amount is `180 \text(kg)`. Find the original amount.- (6000) `\text(kg)`
Hint
Help VideoCorrect
Excellent!
Incorrect
First, use a rectangle and list down the values: percentages on the left side and amounts on the right side.`\text(Known value)=180 \text(kg)``\text(Percentage of known value)=3%``\text(Percentage of total value)=100%``\text(Total value)=?`
`\text(Proportion Method)`To find the missing value, cross-multiply the fraction of the percentages by the fraction of the given and total value.Let the original amount be `x`$$\frac{\color{#007DDC}{3}}{\color{#e85e00}{100}}$$ `=` $$\frac{\color{#00880A}{180}}{\color{#9a00c7}{x}}$$ `3timesx` `=` `180times100` Cross multiply `3x` `=` $$18{,}000$$ `3x``divide3` `=` $$18{,}000\color{#CC0000}{\div3}$$ Divide both sides by `3` `x` `=` `6000` Hence, `180\text(kg)` is `3%` of $$\underline{\color{#9a00c7}{6000\;\text{kg}}}$$`6000 \text(kg)``1% \text(Method) -\text(Unitary Method)`First, find the `1%` of the total value by dividing both known values by `3`.`3%` `=` `180 \text(kg)` `3``divide3` `=` `180``divide3` Divide both sides by `3` `1` `=` `60` Hence, `1%` of the original amount is `60 \text(kg)`.To find the total value, which is `100%` of the value, multiply the `1%` value, which is `60`, by `100`.`100%` `=` `60times100` `=` `6000` Hence, `180\text(kg)` is `3%` of $$\underline{\color{#9a00c7}{6000\;\text{kg}}}$$`6000 \text(kg)` -
Question 4 of 4
4. Question
A school has `657` students who travel to school by bus. If this represents `73%` of the students, how many students does the school have?- (900) `\text(students)`
Hint
Help VideoCorrect
Well Done!
Incorrect
First, summarise the data and draw a diagram for easier understanding of the problem`\text(Number of students taking the bus)=657``\text(Percentage of students taking the bus)=73%``\text(Percentage of total number of students)=100%``\text(Total number of students)=?`
`\text(Proportion Method)`To find the missing value, cross-multiply the fraction of the percentages by the fraction of the given and total value.Let the original amount be `x`$$\frac{\color{#007DDC}{73}}{\color{#e85e00}{100}}$$ `=` $$\frac{\color{#00880A}{657}}{\color{#9a00c7}{x}}$$ `73timesx` `=` `657times100` Cross multiply `73x` `=` $$65{,}700$$ `73x``divide73` `=` $$65{,}700\color{#CC0000}{\div73}$$ Divide both sides by `73` `x` `=` `900` Hence, the total number of students is $$\underline{\color{#9a00c7}{900}}$$`900 \text(students)``1% \text(Method) -\text(Unitary Method)`First, find the `1%` of the total number of students by dividing both known values by `73`.`73%` `=` `657 \text(students)` `73``divide73` `=` `657``divide73` Divide both sides by `73` `1` `=` `9` Hence, `1%` of the original amount is `9 \text(students)`.To find the total number of students, which is `100%` of the value, multiply the `1%` value, which is `9`, by `100`.`100%` `=` `9times100` `=` `900` Hence, the total number of students is $$\underline{\color{#9a00c7}{900}}$$`900 \text(students)`
Quizzes
- Ratios 1
- Ratios 2
- Ratios 3
- Ratios 4
- Proportions 1
- Proportions 2
- Dividing Quantities
- Rates 1
- Rates 2
- Rates 3
- Rates 4
- Scales 1
- Scales 2
- Scales 3
- Find Base from Percent of an Amount (Unitary Method) 1
- Find Base from Percent of an Amount (Unitary Method) 2
- Using Percentages with Proportions
- Find Original Amount Before Percent Change (Unitary Method)