Unit 6: Combining Applications Part II
We already learned how to work with fractions, decimals, percents, ratios and proportions, now we are going to learn how to work with all of these together in the form of word problems.
If you have trouble with solving word problems, take a look at these steps and apply them to each word problem.
- Read and understand the problem. What does the problem ask you to find? What information do you need to solve the problem?
- Make a plan. How can you solve this problem?
- Solve the problem. Carry out your plan.
- Look back. Does your answer match the question? Is the math correct?
Let's apply these steps to several word problems with combined applications.
1. Four friends went to the mall. Three of them shopped for shoes. What fraction of the group shopped for shoes?
Read and understand the problem. The fraction of the group that shopped for shoes. The number of people in the group and how many shopped for shoes.
Make a plan. Possible answer: Write the fraction
Solve the problem. 3/4 of the group shopped for shoes
Look back. 3 out of 4 shopped for shoes. Correct.
2. A picture folder on Bridget's computer has 36 files in it. Pictures from her friends make up 1/6 of the files. Another 2/6 of the files are pictures from her sister. What fraction of the files are from Bridget's friends or sister?
Read and understand the problem. The fractional amount of files on Bridget's computer that are from her friends or sister. The fraction of files that are from her friends and the fraction of files that are from her sister.
Make a plan. Possible answer: Write an equation.
Solve the problem. 1/2 of the files are from Bridget's friends or sister.
Look back. Addition of fractions with like denominators.
Solve the rest on your own and submit at the end.
1. At a sports banquet, Garrett ate 5/6 of a pizza. Massey ate 1 1/3 of a pizza. Jaime ate 1/2 of a pizza. List the students in order from who ate the least to who ate the most.
2. To earn an A in ninth grade, you must have a grade-point average of 93.0 or higher. Garrett earned an A in Spanish with eight tenths of a point to spare. Write eight tenths as a decimal.
3. Lynn lives 6 3/4 miles from the YMCA. Write the distance as a decimal.
4. One Canadian dollar is valued at 0.96 of a US dollar. One Canadian dollar is valued at what fraction of a US dollar?
5. Billy is paid by the number of jobs he finishes. On Friday, he earned $43.50 in 6 hours. On Saturday, he earned $67.20 in 8 hours. What was his average hourly rate on each day?
6. Eli drove 300 miles at an average rate of 45 miles per hour. How long did it take him to drive the 300 miles?
7. A 605-mile plane trip was flown at an average speed of 110 mph. How long did it take the plane to fly 605 miles?
8. On Monday, Nina put 12 gallons of fuel in her car for $31.56. The following Thursday, she put 15 gallons in and paid $38.85. On which day did she get the better price?
9. In Serena's high school, 27% of the students walk to school. What fraction of the students walk to school?
10. Kole works in an electronics store. He estimates that he spends 42% of his pay in his own store. Write a decimal that represents the amount of pay he spends in the electronics store.
11. A 4-H club in Idaho has taught a recycling program in 62% of Idaho's state parks. In what fraction of the parks has the club taught a recycling program?
12. George bought a DVD player that originally cost $220.00. Today's price was 60% off. How much did he save by buying the player today?
13. Adam spends 40% of his time sleeping. How many hours does he sleep each day?
14. Betsy's mp3 player has 120 GB of memory. She has filled 70% of the memory with music and pictures. How much memory is still available?
15. When Sierra eats out, she always leaves a tip. Depending on the service, she leaves 10%, 20%, or 30% of her bill. The service at lunch was not great, so she wants to leave a 10% tip on a $22.00 bill. How much should she leave as a tip?
Submit assignment here.