V.Quiz

Shelly has saved some money for a vacation. Shelly spends half of her vacation money on an airline ticket; she then spends $50 for sunglasses, $22 for a taxi, and one-third of her remaining money for a room with a view. After her sister repays her a loan of $150, Shelly ­finds that she has $326. How much vacation money did Shelly have at the start of her vacation?

The four children in the Rivera family are Reynaldo, Ramiro, Shakira, and Sasha. The ages of the two teenagers are 13 and 15. The ages of the younger children are 5 and 7. From the following clues, determine the age of each of the children.

a. Reynaldo is older than Ramiro.

b. Sasha is younger than Shakira.

c. Sasha is 2 years older than Ramiro.

d. Shakira is older than Reynaldo.

Write your answers in descending order: Name age, name age.

In a league of nine football teams, each team plays every other team in the league exactly once. How many league games will take place?

A college fi­nds that 841 of its students are receiving ­financial aid, 525 students are business majors, and 202 students are receiving fi­nancial aid and are business majors. How many students are receiving ­financial aid or are business majors?

An automobile company makes a sedan with nine upgrade options.

a. How many different versions of this sedan can the company produce?

b.What is the minimum number of upgrade options the company must provide if it wishes to offer at least 2500 versions of this sedan?

Write your answer like this: answer a, answer b

A survey of 1000 households was taken to determine how they obtained news about current events. The survey considered only television, newspapers, and the Internet as sources for news. Of the households surveyed,

724 obtained news from television.

545 obtained news from newspapers.

280 obtained news from the Internet.

412 obtained news from both television and newspapers.

185 obtained news from both television and the Internet.

105 obtained news from television, newspapers, and the Internet.

64 obtained news from the Internet but not from television or newspapers.

Of those households that were surveyed,

a. how many obtained news from television but not from newspapers or the Internet?

b. how many obtained news from newspapers but not from television or the Internet?

c. how many obtained news from television or newspapers?

d. how many did not acquire news from television, newspapers, or the Internet?

Write your answers like this: a, b, c, d

Determine whether the argument is valid or invalid. Explain how you made your decision. If we wish to win the talent contest, we must practice. We did not win the contest. Therefore, we did not practice.

Determine whether the argument is valid or invalid. Explain how you made your decision. Gina will take a job in Atlanta or she will take a job in Kansas City. Gina did not take a job in Atlanta. Therefore, Gina took a job in Kansas City.

Determine whether the argument is valid or invalid. Explain how you made your decision. If I cut my night class, then I will go to the party. I went to the party. Therefore, I cut my night class.

A toolbox is 14 in. long, 9 in. wide, and 8 in. high. The sides and bottom of the toolbox are one-half inch thick. The toolbox is open at the top. Find the volume of the interior of the toolbox in cubic inches.