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?

Answer 1

Since the ratio of blue to yellow paint is 1:3, and we need a total of 8 gallons of paint, we can use the ratio to find the amount of yellow paint needed.

Let's set up a proportion:

blue paint / yellow paint = 1 / 3

Let's assign a variable to represent the amount of yellow paint needed. Let's call it "y".

So, blue paint / y = 1 / 3

To find the amount of yellow paint needed, we can cross multiply:

blue paint = (y)(1)/3

Since the blue paint is labeled as 8 gallons on the illustration, we can substitute it into the equation:

8 = (y)(1)/3

Now, we can solve for y by multiplying both sides of the equation by 3:

24 = y

Therefore, Nate needs to buy 24 gallons of yellow paint.

Answer 2

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)Responses36 shots36 shots28 shots28 shots8 shots8 shots56 shots

Answer 3

Since Ruthie scores twice for every 7 shots she takes, we can set up a proportion to find the total number of shots she took:

shots / scores = 7 / 2

Let's assign a variable to represent the number of shots taken. Let's call it "s".

So, s / 8 = 7 / 2

To find the total number of shots, we can cross multiply:

s = (8)(7) / 2

s = 56 / 2

s = 28

Therefore, Ruthie took a total of 28 shots on goal.