Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

If
65% of a number is 234 and
15% of the same number is 54 , find
80% of that number.
Answer:

If $65 \%$ of a number is $234$ and $15 \%$ of the same number is $54$ , find $80 \%$ of that number. $\newline$ Answer:

View step-by-step help

View step-by-step help

Find the total given a part and a percent

Full solution

Q. If

65 \%

of a number is

234

and

15 \%

of the same number is

54

, find

80 \%

of that number.

\newline

Answer:

Find Number Value: Find the value of the number based on the given percentage and its corresponding value. $\newline$ We know that $65\%$ of the number is $234$ . To find the value of the number, we can set up the equation: $\newline$ $65\%$ of number = $234$ $\newline$ $0.65 \times \text{number} = 234$ $\newline$ $\text{number} = \frac{234}{0.65}$
Calculate Number: Calculate the value of the number. $\newline$ number = $\frac{234}{0.65}$ $\newline$ number = $360$
Verify Calculation: Verify the calculation with the second percentage given. $\newline$ We are given that $15\%$ of the same number is $54$ . Let's check if our calculated number is correct. $\newline$ $15\%$ of number = $54$ $\newline$ $0.15 \times \text{number} = 54$ $\newline$ $0.15 \times 360 = 54$ $\newline$ $54 = 54$ $\newline$ This confirms our calculation of the number is correct.
Calculate $80$ %: Calculate $80\%$ of the number. $\newline$ Now that we know the number is $360$ , we can find $80\%$ of it. $\newline$ $80\%$ of number $= 0.80 \times$ number $\newline$ $80\%$ of number $= 0.80 \times 360$ $\newline$ $80\%$ of number $= 288$

More problems from Find the total given a part and a percent

Question

10\%

22321

Posted 8 months ago

Question

A student answered

86

problems correctly, which was

81.9\%

of the total number of problems on the test. How many problems did the student answer incorrectly?

\newline

1

\newline

4

\newline

19

\newline

86

\newline

105

Posted 7 months ago

Question

Nayeli lights a

4 m^{2}

12

candles. Citlali lights a

10 m^{2}

30

of the same type of candles.

\newline

Whose space is lit brighter?

\newline

1

\newline

(A) Nayeli's area

\newline

(B) Citlali's area

\newline

(C) The spaces are equally bright.

Posted 8 months ago

Question

What is the result when the number

91

is decreased by

62 \%

\newline

Posted 8 months ago

Question

What is the result when the number

99

is increased by

16 \%

\newline

Posted 8 months ago

Question

What is the result when the number

34

is decreased by

53 \%

\newline

Posted 8 months ago

Question

What is the result when the number

33

is increased by

4.2 \%

\newline

Posted 8 months ago

Question

What is the result when the number

31

is increased by

19 \%

\newline

Posted 8 months ago

Question

What is the result when the number

65

is decreased by

8 \%

\newline

Posted 8 months ago

Question

What is the result when the number

93

is increased by

3.9 \%

\newline

Posted 8 months ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant