Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

When a number is decreased by
6.8%, the result is 87 . What is the original number to the nearest tenth?
Answer:

When a number is decreased by $6.8 \%$ , the result is $87$ . What is the original number to the nearest tenth? $\newline$ Answer:

View step-by-step help

View step-by-step help

Find the total given a part and a percent

Full solution

Q. When a number is decreased by

6.8 \%

, the result is

87

. What is the original number to the nearest tenth?

\newline

Answer:

Denote original number: Let's denote the original number as $x$ . If the number is decreased by $6.8\%$ , it means that $93.2\%$ ( $100\% - 6.8\%$ ) of the original number is equal to $87$ . We can express this as an equation: $0.932 \times x = 87$ .
Calculate $93$ . $2$ %: To find the original number $x$ , we need to divide both sides of the equation by $0.932$ . So, $x = \frac{87}{0.932}$ .
Divide by $0$ . $932$ : Now, let's perform the division to find the value of $x$ . $x = \frac{87}{0.932} \approx 93.3483$ .
Round to nearest tenth: The question asks for the original number to the nearest tenth. Therefore, we need to round $93.3483$ to the nearest tenth, which gives us $93.3$ .

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 9 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