Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Haruka hiked several kilometers in the morning. She hiked only 6 kilometers6\,\text{kilometers} in the afternoon, which was 25%25\% less than she had hiked in the morning.\newlineHow many kilometers did Haruka hike in all?\newlinekilometers\text{kilometers}\newlineReperta.problem

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 8right chevron icon
Percent of change: find the original amount word problemsright chevron icon

Full solution

Q. Haruka hiked several kilometers in the morning. She hiked only 6 kilometers6\,\text{kilometers} in the afternoon, which was 25%25\% less than she had hiked in the morning.\newlineHow many kilometers did Haruka hike in all?\newlinekilometers\text{kilometers}\newlineReperta.problem
  1. Identify Morning Hike Expression: Let mm be the number of kilometers Haruka hiked in the morning.\newlineIdentify the expression for 25%25\% less than the morning hike.\newlineExpression for afternoon hike: m−25%(m)m - 25\%(m)\newline= m−0.25mm - 0.25m
  2. Set Up Equation: We found: Expression for afternoon hike is m−0.25mm - 0.25m\newlineWe know: Value for afternoon hike is 66 kilometers\newlineSet up an equation to find mm, the morning hike distance.\newlineEquation for afternoon hike is 6=m−0.25m6 = m - 0.25m.
  3. Solve for Morning Hike: We found: 6=m−0.25m6 = m - 0.25m Solve for mm. m−0.25m=6m - 0.25m = 6 m(1−0.25)=6m(1 - 0.25) = 6 0.75m=60.75m = 6 m=6/0.75m = 6 / 0.75 m=8m = 8 Haruka hiked 88 kilometers in the morning.
  4. Calculate Total Distance: We found: Haruka hiked 88 kilometers in the morning and 66 kilometers in the afternoon.\newlineCalculate the total distance hiked by adding the morning and afternoon distances.\newlineTotal distance hiked = morning hike + afternoon hike\newlineTotal distance hiked = 8 km+6 km8 \, \text{km} + 6 \, \text{km}\newlineTotal distance hiked = 14 km14 \, \text{km}

More problems from Percent of change: find the original amount word problems

Question
Owen answered a set of math and history Quiz Bowl questions. Owen correctly answered 72%72\% of all the 200200 questions. However, Owen answered 53.3%53.3\% of the math questions correctly. If 45%45\% of the questions were in math, what percent of history questions did Owen answer correctly? (Round to the nearest percent. Ignore the %\% symbol when entering your answer. For example, if the answer is 11.2%11.2\%, enter 1111.)
Get tutor helpright-arrow

Posted 2 months ago

Question
Gianna runs a small business and is attempting to create a Cash Collections Budget, so she can determine her income for the first quarter of next year. She has an accounts receivable balance of $25,000\$25,000 at the end of this year and expects her ist quarter sales for next year to be $75,000\$75,000. If her standard is to collect 50%50\% of sales in the quarter in which it was earned, how much will her Total Cash Collections be for Quarter 11 of next year?\newlinea.) $25,000\$25,000\newlineb.) $75,000\$75,000\newlinec.) $62,500\$62,500\newlined.) $67,250\$67,250
Get tutor helpright-arrow

Posted 2 months ago

Question
Translate the phrase to an algebraic expression: 77 more than 33 times a number\newlineThe algebraic expression is
Get tutor helpright-arrow

Posted 2 months ago

Question
Haruka hiked several kilometers in the morning. She hiked only 66 kilometers in the afternoon, which was 25%25\% less than she had hiked in the morning. How many kilometers did Haruka hike in all? \newline□\square kilometers
Get tutor helpright-arrow

Posted 2 months ago

Question
John is a quarterback. This year, he completed 350350 passes, which is 70%70\% of all the passes he's attempted this year.\newlineHow many passes has John attempted this year?\newlinepasses
Get tutor helpright-arrow

Posted 2 months ago

Question
A plant was 20 cm20\,\text{cm} tall last month. This month, it grew by 25%25\%. What is its height this month?
Get tutor helpright-arrow

Posted 2 months ago

Question
What is \newline0.632‾0.6\overline{32} as a fraction? Move numbers to the blanks to complete the fraction.\newline□79\frac{\Box}{79}\newline□125\frac{\Box}{125}\newline□313\frac{\Box}{313}\newline□457\frac{\Box}{457}\newline□495\frac{\Box}{495}\newline□632\frac{\Box}{632}\newline□999\frac{\Box}{999}
Get tutor helpright-arrow

Posted 2 months ago

Question
On Monday, Florencia's hair was hh centimeters long. She got a haircut on Tuesday, so her hair was only 75%75\% of the length it was on Monday.
Get tutor helpright-arrow

Posted 2 months ago

Question
The double number line shows that Shanika has built 1515 banjos.\newlineComplete the table to show different percentages of the banjos.\newline\begin{tabular}{c|c} \newlineBanjos & Percentage \\\newline\hline 1515 & \% of 1515 banjos \\\newline3333 & \% of 1515 banjos \\\newline66 & \% of 1515 banjos\newline\end{tabular}
Get tutor helpright-arrow

Posted 2 months ago

Question
warming. As of 20202020 , China is the largest emitter of carbon dioxide gas in the world, with 1010,668668 million metric tons. The US is the secondlargest emituer of CO2 \mathrm{CO}_{2} with 44,713713 million metric tons. India is the thirdlargest emitter, with 22,442442 million metric tons of total carbon dioxide emissions produced. Russia is the fourth-largest emitting 11,577577 million metrictons.\newlineNow, complete the following on A44-sized sheets-\newlinea. Draw a bar graph to represent the data given, taking 1 cm−1000 1 \mathrm{~cm}-1000 metric tons.
Get tutor helpright-arrow

Posted 9 hours ago

View all (5)