Carla needs to complete her science homework. She has 20 pages to read and 14 questions to answer. If it takes Carla 10 minutes to read 4 pages, how many minutes will it take her to read the full assignment?(1 point)
Responses
50 minutes
50 minutes
35 minutes
35 minutes
9 minutes
9 minutes
85 minute
wrong
The correct answer is 50 minutes.
Use proportional relationships to solve this mixture problem. The incoming 6th-grade class has a choice between band or choir as an elective. There are four times as many seats in choir as there are in band. How many students can choose band if there is a total of 250 students?(1 point)
Responses
250 students
250 students
200 students
200 students
50 students
50 students
124 students
Let's set up a proportion to solve this problem:
Band seats : Choir seats = Band students : Choir students
Since there are four times as many seats in choir as there are in band, we can set up the proportion as:
1 : 4 = Band students : Choir students
Now, we know that the total number of students is 250. Therefore, the sum of the Band students and the Choir students must equal 250.
Let's represent the number of Band students as x. This means that the number of Choir students would be 4x.
So, our proportion becomes:
1 : 4 = x : 4x
Now, we can solve for x:
1 * 4x = 4 * x
4x = 4x
Therefore, the number of students who can choose band is 50.
Solve Mixture Problems with Proportions Quick Check
3 of 53 of 5 Items
Question
Luis is making chocolate chip cookies. The recipe calls for 18 cup of almonds for every 34 cup of chocolate chips. If Luis uses 3 cups of chocolate chips, how many cups of almonds will he need? Round to the nearest tenth.(1 point)
Responses
0.5 cup
0.5 cup
0.8 cup
0.8 cup
18.0 cups
18.0 cups
0.4 cup
To solve this problem, we can set up a proportion:
Almonds : Chocolate chips = Almonds needed : Chocolate chips used
According to the recipe, for every 34 cup of chocolate chips, 18 cup of almonds are needed.
So, our proportion can be written as:
18 : 34 = Almonds needed : 3
Now, we can solve for Almonds needed:
18 * 3 = 34 * Almonds needed
54 = 34 * Almonds needed
Almonds needed = 54 / 34
Almonds needed ≈ 1.588
Rounded to the nearest tenth, Luis will need approximately 1.6 cups of almonds.
To find out how long it will take Carla to read the full assignment, we need to determine how long it takes her to read one page and then multiply that by the total number of pages.
We know that it takes her 10 minutes to read 4 pages. To find out how long it takes her to read one page, we divide 10 minutes by 4 pages:
10 minutes / 4 pages = 2.5 minutes per page
Now that we know it takes her 2.5 minutes to read one page, we can multiply that by the total number of pages:
2.5 minutes/page * 20 pages = 50 minutes
So, it will take Carla 50 minutes to read the full assignment.