Unit 6: Combining Applications Part I
In this Unit you will be combining a variety of applications, like multiple-step all operations word problems, calculating time/days/months, converting factions to decimals and back again, working with pounds and ounces and household measurements. These will all be in the form of word problems. You will learn how to obtain the pertinent information to solve the problem.
For this section you will learn calculating time/days/months, and problems with pounds, ounces and household measurements.
6.1.A Household measurements: Let's start with household measurements and pounds and ounces conversion problems.
First you will need to know the following:
| 16 ounces=1 pound | 8 ounces = 1 cup | 16 ounces = 1 pint | 2 cups = 1 pint | 2 pint = 1 quart | 32 ounces = 1 quart |
| 4 cups = 1 quart | 4 quarts = 1 gallon | 8 pints = 1 gallon | 128 ounces = 1 gallon | 16 cups = 1 gallon | |
| Abbreviations: | |||||
| pound = lb | ounces = oz | cup = c | pint = pt | quart = qt | gallon = gal |
With the above information we can solve the following problems.
1. John obtained 320 oz of milk from his cow this morning. He went out to milk her again before lunch and she produced another 314 oz. He waited until just before dinner to milk the cow once more for the day, he got another 262 oz. How many gallons of milk did John get today?
To solve, we need to know the total ounces of milk: 320 + 314 + 262 = 896
Now, we know that 128 ounces = 1 gallon, so, we need to divide 896 by 128. 128 goes in to 896 SEVEN times.
So, there are 7 gallons of milk.
2. How many cups are in 4 gallons?
We know 16 cups = 1 gallon, so multiply 16 cups by 4 gallons to get 64 cups.
3. How many ounces are in 13 pounds?
We know there are 16 ounces to 1 pound, so multiply 13 pounds by 16 ounces to get 208 ounces.
Converting ounces to pounds Khan Academy Links to an external site.
Converting pints, gallons and cups Khan Academy Links to an external site.
6.1.B Calculating time: Let's work with time management and time word problems.
First you need to understand time, which I'm sure you already do, but let's refresh.
Hours, minutes, seconds: Hours are can be reported in quarters. Such as, it is a quarter to noon, meaning it is 11:45 am. Since there are 60 minutes in one hour and if we divide that by 1/4, we get four 15-minute segments.
A quarter after an hour is 15 minutes after the hour, a quarter to an hour is 15 minutes until that hour.
Hours can be reported in halves. Such as, it is half past noon, meaning it is 12:30 pm. If we divide 60 by 1/2, we get two 30-minute segments.
It is also important to know that there are 24 hours in one day, 60 minutes in one hour and 60 seconds in one minute.
Months, weeks, days: It can be a little tricky calculating the numbers of days in months. You have to know that February has 28 days and you have to remember which months have y 30 days and which have 31 days, AND you have to keep track of leap year for that extra day in February. A good elementary method of remembering the number of days per month is using your knuckles. Count the months on your knuckles and the grooves between your knuckles. Leave out your thumb knuckle. Every month that lands on a knuckle is 31 days, every month that lands on a groove between knuckles is 30 days (or 28 for February).
Watch how here.
Links to an external site.
Weeks always have 7 days. Sometime you may hear the term "work week" which actually refers to Monday through Friday (5 days).
Days have 24 hours.
Time word problems form Khan Academy. Links to an external site.
Please see the lesson then complete practice problems below.
YOU MUST OPEN THIS LESSON: Lesson for managing time Download Lesson for managing time
Let's do some more example problems.
1. Brandon left school at 3:15 p.m. He walked to the library to work on his homework. It took 15 minutes to walk to the library. Brandon's father picked him up at the library one hour after he arrived. What time did Brandon's dad pick him up?
To solve, we need to pull out the important information.
Brandon left at 3:15 pm
His walk took 15 minutes
What time did he get to the library? 3:15 plus 15 minutes, 3:30 pm
One hour later, his dad arrives. 3:30 plus 1 hour is 4:30 pm. EASY!
2. Emily and Sarah live at opposite ends of the neighborhood. It takes each of them 20 minutes to walk to school. If they have to be at school at 8:15 a.m., what is the latest time they can leave home and still make it to school in time without running?
To solve, we need to pull out the important information.
It take 20 minutes to walk to school.
They must arrive at 8:15 am. 8:15 minus 20 minutes (8:15 - 0:15 = 8:00, 8:00 - 0:05 = 7:55) 7:55 am.
3. Many airlines make you purchase a ticket 14 days before our flight. If Mary is leaving on August 20th, on what day should she purchase her ticket ?
To solve, we go back 14 days from 20 August. 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 6 August
Now you're ready to practice on your own. Complete the assignments and submit below.
1. Janice has a job interview at 9:30 a.m. It will take her 25 minutes to drive to the location of the interview. She also wants to arrive 10 minutes early. It will take her 1 hour and 35 minutes to shower and get dressed for the interview. She wants to wake up to have enough time to have breakfast and coffee before she gets ready, (50 minutes). What time does Janice need to set her alarm clock to wake up?
2. Hannah is 6 months pregnant with her second child. Because of complications from her first pregnancy she will have a cesarean section. The doctor will set her C-section date for exactly 40 weeks gestation. How many more weeks until her C-section?
3. The Standfield's left on a four-week vacation on June 22nd. When did they return?
4. Lucy is monitoring her fluid intake. In the morning she wrote down that she measured and drank 4 cups of water. She also had a full glass of orange juice, which was 8 ounces. For lunch she had half of a pint of milk and 8 ounces of water. How many quarts of fluid did she drink so far today?
5. How many quarts are in 18 gallons?
Submit all practice assignments HERE