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
To find the amount of yellow paint needed, we need to find 3 parts of the total parts, which is 4, that represents the yellow paint.
Since there are 4 parts in total, and we need to find 3 parts of yellow, we can set up the equation:
3 parts / 4 parts = x gallons / 8 gallons
Cross multiplying, we get:
3 parts * 8 gallons = 4 parts * x gallons
24 gallons = 4x gallons
Dividing by 4, we get:
x = 6 gallons
Therefore, Nate needs to buy 6 gallons of yellow paint.
To find out how much yellow paint Nate needs to buy, we need to determine the ratio of blue to yellow paint.
Given that Nate wants to combine blue and yellow paint in the ratio of 1:3, it means that for every unit of blue paint, he needs 3 units of yellow paint.
Since Nate needs a total of 8 gallons of paint, we can set up the equation:
1 unit of blue paint + 3 units of yellow paint = 8 gallons of paint.
To find out how much yellow paint (in gallons) Nate needs, we can solve for the unknown value (yellow paint):
3 units of yellow paint = 8 gallons of paint - 1 unit of blue paint
3y = 8 - x
Given that the ratio in which Nate wants to mix the paints is 1:3, we can assume that x represents the blue paint required and y represents the yellow paint required.
In this case, we are looking for the value of y (yellow paint).
Since x represents the blue paint required, we need to find the value of x in order to solve for y. However, the amount of blue paint required is not given in the question, so it is not possible to determine the exact amount of yellow paint needed. Therefore, we cannot provide a specific answer.
The correct response would be:
Not enough information provided to determine the amount of yellow paint needed.
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
36 shots
36 shots
56 shots
56 shots
8 shots
8 shots
28 shots
For every 7 shots on goal, Ruthie scores twice. To determine the number of shots she took, we need to find the corresponding total number of sets of 7 shots.
If she scores 8 times, we can set up the following equation:
Total sets of 7 shots / 2 = 8 times she scores
Dividing both sides by 2, we get:
Total sets of 7 shots = 8 times she scores * 2
Total sets of 7 shots = 16
Therefore, Ruthie took a total of 16 sets of 7 shots, which is equal to 16 * 7 = 112 shots on goal.
The correct response is:
112 shots
112 is wrong!
I apologize for the incorrect response. Let's try solving the problem again.
For every 7 shots she takes on goal, Ruthie scores twice. If she scores 8 times, we can set up the equation:
(Number of shots / 7) = 8
To find the number of shots she took, we can multiply both sides of the equation by 7:
Number of shots = 8 * 7
Number of shots = 56
Therefore, Ruthie took a total of 56 shots on goal.
The correct response is:
56 shots
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
66 kids
66 kids
72 kids
72 kids
60 kids
60 kids
12 kids
To find the number of kids waiting in line, we need to determine the ratio of kids to the total number of people waiting in line.
The ratio of adults to kids waiting in line is given as 5:6.
The total ratio is 5+6=11.
To find the number of kids waiting in line, we calculate:
(6/11) * 132 = 72
Therefore, there are 72 kids waiting in line.
The correct response is:
72 kids
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
20 sausages
20 sausages
12 sausages
12 sausages
5 sausages
5 sausages
8 sausages
To find the number of sausages Edgar needs, we need to determine the ratio of sausages to eggs.
The ratio of eggs to sausages is given as 3:2.
Since Edgar is using 12 eggs, we can set up the following equation:
3/2 = 12/x
Cross-multiplying, we get:
3x = 2 * 12
3x = 24
Dividing by 3, we get:
x = 8
Therefore, Edgar needs 8 sausages for the egg casserole.
The correct response is:
8 sausages