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

11 answers

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.
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
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

21 shorts
21 shorts

40 shorts
40 shorts

10 shorts
10 shorts

30 shorts
To find the number of shorts available for sale, we need to determine the ratio of shorts to the total number of pants and shorts.

The ratio of pants to shorts is given as 4:3.

The total ratio is 4+3=7.

To find the number of shorts, we calculate:

(3/7) * 70 = 30

Therefore, there are 30 shorts available for sale.

The correct response is:

30 shorts