Use the image to answer the question.
An illustration shows two horizontal tape diagrams made up of equally sized rectangles. The top tape diagram is 5 rectangles long and is labeled tickets sold. The bottom tape diagram is 3 rectangles long and is labeled tickets not sold. All the rectangles are equally sized.
A baseball team has 1,200 tickets to sell. The ratio of tickets sold to unsold tickets is 5:3 . What value should be inserted into each rectangle?
(1 point)
The number
should be inserted into each rectangle.
The number 200 should be inserted into each rectangle.
To find the value that should be inserted into each rectangle, we need to divide the total number of tickets by the number of rectangles in the tape diagram.
In this case, we know that the top tape diagram represents tickets sold and is 5 rectangles long, while the bottom tape diagram represents tickets not sold and is 3 rectangles long.
The total number of tickets is given as 1,200.
To find the value for each rectangle, we divide the total number of tickets by the total number of rectangles:
1,200 tickets ÷ (5 rectangles + 3 rectangles) = 1,200 tickets ÷ 8 rectangles
Simplifying the division:
1,200 ÷ 8 = 150
So, the value that should be inserted into each rectangle is 150.
To answer this question, we need to find the value that should be inserted into each rectangle.
We know that the top tape diagram represents the tickets sold, and it consists of 5 rectangles. The bottom tape diagram represents the tickets not sold and consists of 3 rectangles.
The total number of rectangles in both tape diagrams is given by the ratio 5:3. This means that for every 5 rectangles in the top diagram, there are 3 rectangles in the bottom diagram.
Since we have a total of 1,200 tickets to sell, we can divide this total into 5 + 3 parts.
To find the value that should be inserted into each rectangle, we can divide 1,200 by the sum of the parts of the ratio (5 + 3):
1,200 ÷ (5 + 3) = 1,200 ÷ 8 = 150
Therefore, the value that should be inserted into each rectangle is 150.
Best friends Olivia and Sylvia both get a weekly allowance. Olivia’s and Sylvia’s allowances are in the ratio 2:3 . If Sylvia gets $21 one week, how much did Olivia get? Use a tape diagram to help organize your thinking.(1 point)
$
To find out how much Olivia gets, we can use the given ratio of Olivia's and Sylvia's allowances, which is 2:3.
Let's represent Olivia's allowance with two rectangles and Sylvia's allowance with three rectangles on a tape diagram.
Since Sylvia gets $21, we can divide it equally among the three rectangles representing her allowance. Each rectangle would then represent $7 ($21 divided by 3).
Now, we need to find the value of Olivia's allowance. Since the ratio of their allowances is 2:3, we can assume that each rectangle representing Olivia's allowance is worth $7 x 2 = $14.
Therefore, Olivia would get $14 as her allowance.
Use the table to answer the question.
Lower Level Upper Level
6 5
30 25
60 50
This two-column table shows the number of lower-level and upper-level tickets sold. What is an equivalent part-to-part ratio?
(1 point)
Responses
106 lower level:105 upper level
ratio of 106 lower level to 105 upper level
105 lower level:106 upper level
ratio of 105 lower level to 106 upper level
100 lower level:120 upper level
ratio of 100 lower level to 120 upper level
120 lower level:100 upper level
The equivalent part-to-part ratio for the given table is:
105 lower level:106 upper level
This means that for every 105 lower-level tickets sold, there are 106 upper-level tickets sold.
Use the table to answer the question.
Quarts of Red Paint Quarts of Yellow Paint Totals
3 2 5
21 14 35
A ratio table is given showing quarts of red and yellow paint. What is an equivalent part-to-part-to-whole ratios in a three-column table?
(1 point)
Responses
22:23:45
ratio of 22 to 23 to 45
10:15:25
ratio of 10 to 15 to 25
23:22:45
ratio of 23 to 22 to 45
15:10:25
The equivalent part-to-part-to-whole ratio in a three-column table for the given table is:
23:22:45
This means that for every 23 quarts of red paint and 22 quarts of yellow paint, the total is 45 quarts.