Ratios
equivalent ratios
equivalent ratios 2.0
solving problems
stories
100
The coed soccer team has four times as many boys on it as it has girls. what is the ratio?
4:1 or four to one
100
Mason and Laney ran laps to train for the long-distance running team. The ratio of the number of laps Mason ran to the number of laps Laney ran was 2 to 3. If Mason ran 4 miles, how far did Laney run?
What is 6 miles
100
The morning announcements said that two out of every seven sixth-grade students in the school have an overdue library book. Jasmine said, “That would mean 24 of us have overdue books!” Grace argued, “No way. That is way too high.” How can you determine who is right?
What is You would have to know the total number of 6th grade students, and then see if the ratio 24: total is equivalent to 2:7
100
A County Superintendent of Highways is interested in the numbers of different types of vehicles that regularly travel within his county. In the month of August, a total of 192 registrations were purchased for passenger cars and pickup trucks at the local Department of Motor Vehicles (DMV). The DMV reported that in the month of August, for every 5 passenger cars registered, there were 7 pickup trucks registered. How many of each type of vehicle were registered in the county in the month of August? a. Using the information in the problem, write four different ratios and describe the meaning of each.
What is cars to trucks 5:7 & is a part to part ratio trucks to cars is 7:5 & is a part to part ratio cars to total vehicles is 5:12 & this is part to whole ratio. trucks to vehicles is 7:12 & that is a part to whole ratio
100
Sammy and Kaden went fishing using live shrimp as bait. Sammy brought 8 more shrimp than Kaden brought. When they combined their shrimp they had 32 shrimp altogether. Express the number of shrimp Sammy brought as a fraction of the number of shrimp Kaden brought.
What is 20/12
200
Using words, describe a ratio that represents 1 to 12
Answer can vary....
200
Mason and Laney ran laps to train for the long-distance running team. The ratio of the number of laps Mason ran to the number of laps Laney ran was 2 to 3. If Laney ran 930 meters, how far did Mason run?
What is 620 meters
200
Decide whether or not the following pair of ratios are equivalent. *if the ratio is not equivalent, find a ratio that is equivalent to the first ratio. *If the ratios are equivalent, identify the nonzero number, C, that could be used to multiply each number of the first ratio by in order to get the numbers for the second ratio.
What is no an equivalent ratio would be 42:77
200
The Superintendent of Highways is further interested in the numbers of commercial vehicles that frequently use the county’s highways. He obtains information from the Department of Motor Vehicles for the month of September and finds that for every 14 non-commercial vehicles, there were 5 commercial vehicles. If there were 108 more noncommercial vehicles than commercial vehicles, how many of each type of vehicle frequently use the county’s highways during the month of September?
What is 12 9 sections represent the "more than commercial vehicles," which is 108. to find how many cars each section represents, divide 108 by 9...which equals 12
200
Maritza is baking cookies to bring to school and share with her friends on her birthday. The recipe requires 3 eggs for every 2 cups of sugar. To have enough cookies for all of her friends, Maritza determined she would need 12 eggs. If her mom bought 6 cups of sugar, does Maritza have enough sugar to make the cookies? Why or why not?
What is Maritza will NOT have enough sugar to make all the cookies because she needs 8 cups of sugar and only has 6 cups of sugar.
300
At the sixth-grade school dance, there are 132 boys, 89 girls, and 14 adults. what is the ratio of the number of boys to the number of adults?
132:14 or one hundred thirty two to fourteen
300
Josie took a long multiple-choice, end-of-year vocabulary test. The ratio of the number of problems Josie got incorrect to the number of problems she got correct is 2: 9. If Josie missed 8 questions, how many did she get correct?
What is 36 correct
300
Decide whether or not the following pair of ratios are equivalent. * if the ratios are not equivalent, find a ratio that is equivalent to the first ratio. * If the ratios are equivalent, identify the nonzero number, C, that could be used to multiply each number of the first ratio by in order to get the numbers for the second ratio.
What is yes. the value, c, is 4
300
The ratio of the number of people who own a smartphone to the number of people who own a flip phone is 4: 3. If 500 more people own a smartphone than a flip phone, how many people own each type of phone?
What is 2,000 smartphone 1,500 flip phone
300
Find the value of the following ratio, leaving your answer as a fraction, but rewrite the fraction using the largest possible unit. Ratio: 12: 32
What is 3/8
400
Is the order of the numbers important to the meaning of the ratio? Why?
What is Yes! Switching the numbers changes the relationship. The description of the ratio relationship tells us the correct order for the numbers in the ratio.
400
Josie took a long multiple-choice, end-of-year vocabulary test. The ratio of the number of problems Josie got incorrect to the number of problems she got correct is 2: 9. If Josie missed 20 questions, how many did she get correct?
What is 90 correct
400
In a bag of mixed walnuts and cashews, the ratio of the number of walnuts to the number of cashews is 5: 6. Determine the number of walnuts that are in the bag if there are 54 cashews. Use a tape diagram to support your work. Justify your answer by showing that the new ratio you created of the number of walnuts to the number of cashews is equivalent to 5: 6.
What is 5:6 and 45:54 ratio of #of walnuts to the #of cashews is 45:54. ratio is equivalent to 5:6 54 divided by 6=9 5X9=45 45 walnuts in the bag. 9X9
400
A sporting goods store ordered new bikes and scooters. For every 3 bikes ordered, 4 scooters were ordered. However, bikes were way more popular than scooters, so the store changed its next order. The new ratio of the number of bikes ordered to the number of scooters ordered was 5: 2. If the same amount of sporting equipment was ordered in both orders and 64 scooters were ordered originally, how many bikes were ordered as part of the new order?
What is 80 bikes were ordered as part of the new order
400
Use the value of the ratio to determine which ratios are equivalent to 7: 15. a. 21: 45 b. 14: 45 c. 3: 5 d. 63: 135
What is both (a) and (d) are equivalent to 7:15
500
In the cafeteria, 100 milk cartons were put out for breakfast. At the end of breakfast, 27 remained. What is the ratio of the number of milk cartons remaining to the number of milk cartons taken?
What is 27:73 or 27 to 73
500
Describe how to create equivalent ratios.
What is Multiply both numbers of the ratio by the same number (any number you choose)
500
The ratio of Isabella’s money to Shane’s money is 3: 11. If Isabella has $33, how much money do Shane and Isabella have together? Use diagrams to illustrate your answer
What is $154.00 I=$33 S=$121 33+121= $154 (each unit represents $11) 11*11=121
500
The Business Direct Hotel caters to people who travel for different types of business trips. On Saturday night there is not a lot of business travel, so the ratio of the number of occupied rooms to the number of unoccupied rooms is 2: 5. However, on Sunday night the ratio of the number of occupied rooms to the number of unoccupied rooms is 6: 1 due to the number of business people attending a large conference in the area. If the Business Direct Hotel has 432 occupied rooms on Sunday night, how many unoccupied rooms does it have on Saturday night?
What is 360 unoccupied rooms on Sat. night
500
Your middle school has 900 students. 1/3 of students bring their lunch instead of buying lunch at school. What is the value of the ratio of the number of students who do bring their lunch to the number of students who do not?
What is 1/2
M
e
n
u