PracticeQuiz content is free on an ad-supported model.

Unfortunately, we can't support ad blocker usage because of the impact on our servers. If you'd like to continue, please disable your ad blocker and reload page.

Reload page

SAT Prep

Category - Math

Start a Study Session Sign up for Question of the Day

John gives 1/2 of his apples to his mother, 1/3 to his sister, and 1/9 to his friend, leaving him with one apple. How many apples did John originally have?

Explanation

Answer: E - John had 18 apples. Denote the number of all apples with x.
1/2 x + 1/3 x + 1/9 x + 1 = x

The least common multiple for 2, 3, and 9 is 18. Multiply both sides of the equation by 18.
18 × (1/2 x + 1/3 x + 1/9 x + 1) = 18x
9x + 6x + 2x + 18 = 18x
17x + 18 = 18x
18 = 18x − 17x
18 = x

John had 18 apples.

Previous Next

Was this helpful? Upvote!

Start a Study Session Sign up for Question of the Day

Related questions

3 votes

The Mongols: More than just Another Nomadic TribeHistorians have been quick to portray pastoral nor nomadic groups as being dedicated to both agriculture and transitioning from one location to another. This is based on the needs of the people and the restraints of the land where the nomadic people were residing. For the most part, these pastoral groups were peaceful, sharing their skills and talents with those around them. Their focus was not on conquering or defeating those around them. The Mongols are represented quite differently in history books. The Mongol people refute the stereotypical nomadic tribes in that they were not farmers, did not contribute the typical products of other civilizations, did not restrict the power of women, and were focused on dominating others. When one hears the word “nomad”, it is almost synonymous with agriculture and farming, but for the Mongols this was untrue. Rather than focusing their lives around farming and the relocating that this entailed, the Mongols worked to domesticate animals. Comparatively, this creates immense contrast between what historians have portrayed about nomadic groups and the Mongols. In addition to the absence of farming, Mongols did not focus on elaborate designs. Whereas other cultures were working to build impressive cities that gained prestige and captivated spectators, the Mongols did not use their talents to complete such displays. Perhaps, instead of focusing efforts on leaving a legacy, the Mongols were focused on utilizing the talents of their entire population. Most nomadic tribes were unwilling to denote equality between men and women; this is not true of the Mongols. For them, women were an invaluable part of the community. Agricultural civilizations viewed women as highly restricted, yet the Mongols allowed women to maintain a higher status in society, even serving as partisan mentors and being vocal in military matters. Another huge contrast was a woman’s ability to start divorce proceedings. The comparisons make clear that the Mongols were not just another nomadic tribe. While the Mongols were certainly focused on survival, they were also interested in spreading their influence worldwide. The typical peacefulness ended with the Mongols in pursuit of world dominance. The Great Wall of China was built because of the Mongols. In brief, the Mongols were not typical pastoral people. They replaced farming with herding animals and exchange a cultural imprint for an attempt at world dominance; furthermore, they appreciated the contributions of males and females alike. Clearly, history’s representation of nomadic people is atypical for the Mongols, who were more than just another pastoral tribe. Which of the following sentences should be deleted from the fifth paragraph?
3 votes

Choose the answer which best rewords the underlined portion. If you think the original wording is best, choose option A.Around 10 percent of the labor force work in agricultural production.
3 votes

The name Jane Goodall is synonymous with chimpanzees. Having devoted her life to observing these animals in their native African homes, she has gained a plethora of information related to these primates. Ironically, Goodall was not always an animal behavioral analyst. But upon completing secretarial school she began working with well-known paleontologist, Louis Leakey, and was given her first assignment to study apes and chimps in Africa. While Dr. Leakey asserted that ancient apes were the descendants of chimps and humans, Goodall did not concur. Her research contradicted Leakey’s and he advised her to pursue her ideas. From there, Jane began to exclusively study chimpanzees and developed an overwhelming desire to spend her time in the jungles learning about these intriguing creatures.What does the word synonymous mean as used in the first sentence of this passage?

Most popular on PracticeQuiz

219 votes

You are attempting to gather information from a patient, but they are having a hard time trying to communicate since they were hit in the throat by a baseball bat. What is the function of the vocal cords? NREMT Advanced EMT
209 votes

An 8-year-old boy named Albert has a 10-year-old brother named Benny. Benny joins the service at 20 leaving Albert feeling bitter that he no longer has a brother to look up to. After 7 years, Albert is finally ready to make up with Benny who has been out of the service for 5 years. How old is Albert now? GED Exam Prep: Math
186 votes

Using motivation from ‘within’ is called ______________. CPCE Exam Prep
177 votes

The lymphatic system contains four organs: Medical Coding Exam Prep
127 votes

“A set of specialized organizational capabilities for providing value to customers in the form of services” is the official definition of: IT Service Management Foundation Practice Test

Ad-Blocker not supported

SAT Prep

Top questions

Related questions

Most popular on PracticeQuiz