Word Problems — Quiz 11

Questions in this quiz (10)

1. Maria downloaded to her music library a total of 350 pop and rock songs. If the ratio of pop to rock songs is 3 to 11, how many rock songs are there in Maria's library?

   • 125
   • 175
   • 275
   • 150

2. In a hospital, the medical staff is composed of 34 doctors and 68 nurses. How many additional doctors should join the hospital in order for the ratio of doctors to total number of medical staff to become 3 to 7?

   • 15
   • 16
   • 17
   • 19

3. A secretary types on her computer keyboard at an average speed of 1.75 words per second. Her manager asked her to type a document containing 16 pages with an average of 525 words per page. How long will she be actively typing this document?

   • $$1 \text{ hour and } 20 \text{ minutes}$$
   • $$2 \text{ hour and } 10 \text{ minutes}$$
   • $$1 \text{ hour and } 30 \text{ minutes}$$
   • $$2 \text{ hour and } 5 \text{ minutes}$$

4. A multiple choice test contains 50 questions. A correct answer is worth 3 points and an incorrect answer is worth -2 points. If a student receives 75 on the test, how many questions did he answer correctly?

   • 35
   • 30
   • 28
   • 25

5. We chose randomly a sample of 250 lawyers out of the 4,900 registered in the syndicate, and we asked them about the most frequent case they defend. The results showed that 45 answered divorce, 125 answered theft and 80 answered murder. Presumably, what is the total number of lawyers registered in the syndicate who deal most frequently with murder?

   • 1,940
   • 1,865
   • 1,391
   • 1,568

6. A local supermarket offered a discount of 15 percent on its items after the government raised all the prices by 25 percent. Overall, by what percentage were the original prices raised in this supermarket in particular?

   • $$10%$$
   • $$6.25%$$
   • $$12.5%$$
   • $$5%$$

7. Ryan wants to calculate the amount of time he spends on social media which, for him, includes only Instagram and Facebook. To do this he uses a formula $$T=aI+bF$$, where $$I$$ is the number of hours he spends on Instagram every day, $$F$$ is the number of hours he spends on Facebook every day, and $$T$$ is the total number of hours he spends on social media every week. If he spends the same amount of time on Instagram every day and the same amount of time on Facebook every day, which of the following could be the value of $$a+b$$?

   • 9
   • 7
   • 10
   • 14

8. As a treat for the holidays, the principal of a school got a bucket of 120 cookies for the teachers. Every hour, when the principal checked the bucket, 4 of the cookies seemed to be missing. Which of the following expressions models the number of cookies $$C$$ eaten by the teachers after $$T$$ hours?

   • $$4T$$
   • $$120-4T$$
   • $$120+4T$$
   • $$4T-120$$

9. A company decides to let its employees work from home. The employer gathers the workers and wants to distribute the work documents among the workers so they can take them home. When he gives 2 documents to each employee, 20 are left over. Instead, he decides to take one himself and give 3 to each employee. This time 9 are left over. What is the number of documents?

   • 30
   • 20
   • 40
   • 10

10. Due to the large demand on hand sanitizers, a small shop owner decided to increase the price of hand sanitizer by a fixed amount every day. If the price $$P$$ (in dollars) of the hand sanitizer can be modeled by the equation $$P = 3.5D + 6$$, where $$D$$ is the number of days after the shop owner took the decision, which of the following is the best interpretation of the number 6 in the expression?

    • The daily increase in the price of sanitizer.
    • The daily change in sanitizer price.
    • The price of the sanitizer before the large demand.
    • The final price of sanitizer when the increase stops.