Tape Diagrams Quick Check
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Question
Use the image to answer the question.
An illustration shows a rectangle labeled as Blue. Another set of three adjacent rectangles is labeled as Yellow and is placed below Blue. All rectangles have the same dimensions. A bracket on the right side encompasses both sets and points to the number 8.
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
6 gallons
6 gallons
24 gallons
24 gallons
4 gallons
4 gallons
2 gallons
6 gallons
Use the image to answer the question.
An illustration shows a set of seven adjacent rectangles labeled as Shots. Another set of two adjacent rectangles is labeled as Scores and is placed below Shots. All rectangles have the same dimensions. A downward-facing bracket is placed below the set of two rectangles and points to the number 8.
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
28 shots
28 shots
8 shots
8 shots
56 shots
56 shots
36 shots
28 shots
Use the image to answer the question.
An illustration shows a set of five adjacent rectangles labeled as Adults. Another set of six adjacent rectangles is labeled as Kids and is placed below Adults. All rectangles have the same dimensions. A bracket on the right side encompasses both sets and points to the number 132.
It’s opening day at an amusement park. There are 132 people in line before it officially opens. If the ratio of adults to kids waiting to get in is 5:6, how many kids are waiting in line?
(1 point)
Responses
60 kids
60 kids
12 kids
12 kids
66 kids
66 kids
72 kids
66 kids
Use the image to answer the question.
An illustration shows a set of three adjacent rectangles labeled as Eggs. Another set of two adjacent rectangles is labeled as Sausages and is placed below eggs. All rectangles have the same dimensions. An upward-facing bracket above the center rectangle in Eggs points to the number 12.
Edgar is making an egg casserole for brunch. He needs eggs and sausages in the ratio of 3:2. If he is going to use 12 eggs, how many sausages does he need?
(1 point)
Responses
5 sausages
5 sausages
12 sausages
12 sausages
8 sausages
8 sausages
20 sausages
8 sausages
Use the image to answer the question.
An illustration shows a set of three adjacent boxes labeled as Shorts. Another set of four adjacent rectangles is labeled as Pants and is placed below Shorts. All rectangles have the same dimensions. A bracket on the right side encompasses both sets and points to the number 70.
A clothing store has pants and shorts for sale in a ratio of 4:3. If there are a total of 70 pants and shorts available for sale, how many of those are shorts?
(1 point)
Responses
10 shorts
10 shorts
40 shorts
40 shorts
30 shorts
30 shorts
21 shorts
21 shorts
To answer this question, we need to use the information provided in the tape diagram. Let's break it down step by step:
1. Start with the given information: Nate needs a total of 8 gallons of paint.
2. Look at the tape diagram: We see that the blue rectangle represents one part of the paint, and the set of three adjacent yellow rectangles represents three parts of the paint.
3. Determine the ratio: Nate wants to combine blue and yellow paint in the ratio of 1:3. This means for every 1 part of blue paint, he needs 3 parts of yellow paint.
4. Calculate how much yellow paint is needed: Since the total number of parts is 4 (1 part blue + 3 parts yellow), and Nate needs a total of 8 gallons, we can set up a proportion: 1/4 = x/8, where x represents the amount of yellow paint needed.
5. Solve the proportion: Cross multiply and solve for x: 1 * 8 = 4 * x. This simplifies to 8 = 4x. Divide both sides of the equation by 4 to find x: x = 2.
6. Answer: Nate needs to buy 2 gallons of yellow paint.
So the correct answer is 2 gallons.