tinku is fond of collecting spiders and insects. He knows spiders have 8 legs and insects have 6 legs. he counted 36 legs. How many of each does he have in hi collection?
He could have just 6 insects.
Or he could have 3 spiders and 2 insects.
Long-distance footraces, known as marathons, are celebrated events in American culture. Hundreds and sometimes thousands of people come together to test their endurance and to take part in good-natured competition. One of the world's most famous marathons takes place every year in Boston, Massachusetts. Incredibly, women have only been able to officially run in the Boston Marathon since 1972. Before that time, it was widely believed that women's bodies and minds were not strong enough for long-distance running. The idea of women running in marathons was so strange to people that the Boston Marathon didn't even have a rule barring women. People just assumed that only men would sign up for the race. In 1967, however, a young woman named Kathrine Switzer changed all that. As a twenty-year-old student, Switzer registered for the marathon under the name “K. V. Switzer.” Because she didn't write Kathrine, race officials did not know that “K. V.” was, in fact, a woman. On the day of the race, Switzer, dressed in a sweatsuit and proudly wearing the number 261, set off with her boyfriend, Tom Miller. Two miles in, however, trouble struck. The race director, Jock Semple, realized that a woman was running in the marathon as an official entrant. He became furious. He was so angry that he joined the other runners on the route and came running after Switzer. Photographs of the event show Semple's frustration as he tried to rip off Switzer's numbers and disqualify her. Witnesses reported that he shouted, “Give me those numbers and get out of my race!” Luckily, Switzer avoided Semple. This was in part because her boyfriend blocked the director's attempts to rip off her race number. Although she was scared and angry about what had happened, Switzer continued to run until she finished the race. Her final time was four hours, twenty minutes. Today, Switzer continues to attend the annual Boston Marathon as a journalist. The female athletes who flock to Boston to run in this world-famous race owe a debt to Switzer for helping the world realize that women could indeed compete and enjoy long-distance running. All races since then have invited women to participate as equals. Because of Switzer’s courage and love of running, she helped other women discover their abilities, too.
Whats exacly the author purpose on this?
My Answer: Switzer is almost removed from the race.
What does Ms. Switzer have to do with spiders?
To determine how many spiders and insects Tinku has in his collection, we can set up a system of equations based on the given information.
Let's assume the number of spiders is represented by the variable "s" and the number of insects by the variable "i".
According to the information given:
1. Spiders have 8 legs, so the total number of spider legs is 8s.
2. Insects have 6 legs, so the total number of insect legs is 6i.
3. The total number of legs counted is 36, so we have: 8s + 6i = 36.
Now, we can solve this system of equations to find the values of "s" and "i".
One way to solve this is by trial and error. We can start by assuming different values for one variable and solve for the other until we find a combination that satisfies both equations.
Let's assume there are 4 spiders (s = 4):
- Total spider legs = 8s = 8 * 4 = 32 legs
Substituting this value into the equation 8s + 6i = 36:
32 + 6i = 36
6i = 36 - 32
6i = 4
i = 4/6
i = 2/3
Since the number of insects cannot be fractional, this combination does not work.
Let's assume there are 3 spiders (s = 3):
- Total spider legs = 8s = 8 * 3 = 24 legs
Substituting this value into the equation 8s + 6i = 36:
24 + 6i = 36
6i = 36 - 24
6i = 12
i = 12/6
i = 2
Now we have a combination of 3 spiders (with 24 legs) and 2 insects (with 12 legs). This satisfies all the given conditions.
Therefore, Tinku has 3 spiders and 2 insects in his collection.