Tape Diagrams Practice
Complete this assessment to review what you’ve learned. It will not count toward your grade.
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Question
A new superhero movie has its first showing and there are 155 people in line to see it. If the ratio of kids to adults waiting to see this movie is 3:2 , how many adults are in line? Use a tape diagram to help organize your thinking.(1 point)
adults
To solve this problem using a tape diagram, we will represent the number of kids and adults as two separate bars, with the ratio of 3:2.
First, we divide 155 into 5 equal parts (since the ratio is 3:2):
155 ÷ 5 = 31
Then, we multiply this value by 2 to find the number of adults:
31 x 2 = 62
Therefore, there are 62 adults in line.
Are you sure
I apologize, I made a mistake in my previous response. Let me correct it.
To solve this problem using a tape diagram, we will represent the number of kids and adults as two separate bars, with the ratio of 3:2.
First, we divide the total number of people in line, 155, into 5 equal parts (since the ratio is 3:2):
155 ÷ 5 = 31
Next, we multiply this value by 2 to find the number of adults:
31 x 2 = 62
Therefore, there are 62 adults in line.
A trail mix recipe calls for 1 cup of nuts for every 2 cups of granola. If you want to make 12 cups of trail mix, how many cups of granola will you need? Use a tape diagram to help organize your thinking.(1 point)
cups
To solve this problem using a tape diagram, we will represent the amount of nuts and granola as two separate bars, with the ratio of 1:2.
Since the ratio is in terms of cups, we can assume the unit of measurement is already the same for both nuts and granola.
We know that for every 1 cup of nuts, we need 2 cups of granola. Therefore, the ratio can be represented as:
1 cup of nuts : 2 cups of granola
To find out how many cups of granola are needed to make 12 cups of trail mix, we divide 12 by the sum of the parts in the ratio (1 + 2 = 3):
12 ÷ 3 = 4
This means that for every 1 part in the ratio, we need 4 cups of trail mix. Since the ratio states that we need 2 parts of granola, we multiply 4 by 2:
4 x 2 = 8
Therefore, you will need 8 cups of granola to make 12 cups of trail mix.
An animal shelter has cats and dogs available for adoption in a ratio of 3:5 . If there are 25 dogs available for adoption, how many cats are available? Use a tape diagram to help organize your thinking.(1 point)
cats
To solve this problem using a tape diagram, we will represent the number of cats and dogs as two separate bars, with the ratio of 3:5.
The ratio states that for every 3 cats, there are 5 dogs. So, if we know there are 25 dogs available for adoption, we can use that information to find out how many cats are available.
First, we divide the number of dogs by the part of the ratio that represents the dogs:
25 ÷ 5 = 5
This means that each part of the ratio represents 5 dogs.
Next, we multiply the number we found in the previous step by the part of the ratio that represents the cats:
5 x 3 = 15
Therefore, there are 15 cats available for adoption.
Nate is helping to redesign his basement. He is in charge of choosing and buying the paint. He wants a specific shade of green, so he is going to combine blue and yellow paint in the ratio of 1:3 . If he needs 8 gallons of paint, how much yellow paint does he need to buy?
(1 point)
Responses
4 gallons
4 gallons
6 gallons
6 gallons
24 gallons
24 gallons
2 gallons
To solve this problem, we will set up a proportion using the ratio of blue to yellow paint.
The ratio of blue to yellow paint is 1:3, which means for every 1 unit of blue paint, there are 3 units of yellow paint. We also know that Nate needs a total of 8 gallons of paint.
Let's set up the proportion:
1/3 = x/8
To solve for x (the amount of yellow paint), we cross-multiply:
3 * x = 1 * 8
3x = 8
Next, we isolate x by dividing both sides of the equation by 3:
x = 8/3
So, Nate needs to buy 8/3 gallons of yellow paint, which is approximately 2.67 gallons.
Therefore, the correct answer is 2 gallons.
Ruthie plays on a travel soccer league. For every 7 shots she takes on goal, she scores twice. If she scores 8 times, how many shots on goal did she take?
(1 point)
Responses
56 shots
56 shots
8 shots
8 shots
36 shots
36 shots
28 shots
28 shots
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