**A pudding recipe for 50 people calls for 4 cups of sugar. Each bag of sugar contains 6 cups. How many bags of sugar will be needed to make this recipe for 300 people?**

8 bags

13 bags

4 bags

24 bags

*Correct Answer : C*

We need to perform a series of numerical dimensional analysis to find the number of bags sugar needed for 300 people.

We are told that 50 people need 4 cups of sugar. This can be interpretated as:

Or

Also, one bag of sugar contains 6 cups. This can also be presented as:

Or

We use the second option relating number of people and cups, and second option relating cups of sugar and bag of sugar to find for number of bags of sugar needed for 300 people.

Â

Therefore, 300 people will need 4 bags of sugar.

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#### Explanation

total muffin is equal to the sum of the different muffins sold.

Total muffins=41+27+20=88 muffins

Thus, the bakery sold about **90 muffins**.

### Correct Answer is D

#### Explanation

The mean is the total divided by the number of elements in the data set. From the given data set:

Total=30+29+28+30+24+12+26+33+25+23=260

Number of items, N=10

Mean=total/N=260/10=26

The mean is 26.

### Correct Answer is B

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we are asked to change 400 mg to g. We use the conversion 1g=1000mg, which we can write as:

So, 400 mg to g becomes

### Correct Answer is B

#### Explanation

Here we are required to find the area of the square of sides 3.1 m. The square is a four-sided figure with each side equal and opposite sides making 90 degrees.

Area of the square =side*side

Side=3.1 m

Area of the square =**3.1 m *3.1 m**=9.61 m2

*Note: 3.1 + 3.1 = 6.2 which is a wrong answer.*

### Correct Answer is A

#### Explanation

all products represent 100%. Then, the portion of defect products is:

0.0025 of 100%

‘of’ means multiply

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### Correct Answer is D

#### Explanation

We can interpret ‘cannot exceed” as less than ‘<’. Therefore, in our inequality, the symbol < must be included. Now let’s convert the word problem into a mathematical inequality.

Money spent on supplies=s

Money spent on textbooks=t

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Total money spent = s+t

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### Correct Answer is C

#### Explanation

We extrapolate the values of a line between 10 and 15 on y-axis to meet the curve and drop another line from the intersection of the curve to meet the x-axis and read off the age of the car.

Now, let’s extrapolate in the following diagram

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### Correct Answer is B

#### Explanation

from the provided table, the first option represents the amount of gas in gallons while the second column shows the distance in miles. Thus, (6, 144) will denote that the car can 144 miles by consuming 6 gallons of a gas.

### Correct Answer is D

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We solve the problem by first finding the amount of gallons needed for the whole trip then find the cost of the gallon.

The car uses 1 gallon to cover 25 miles, which is same as:

Now, in 3000 miles, the car will use how many gallons of gasoline?

A trip of 3000 miles will need 120 gallons. And to find the cost of 120 gallons, we proceed as follows:

The family will spend $199.20 to drive for 3000 miles.

### Correct Answer is A

#### Explanation

In this problem, we take the triangle as a right-angled triangle and label it as follows:

From the Pythagoras theorem A2 + B2= C2, we can look for a combination of A and B that when the squares of A and B are summed give a square of 13. Â Mathematically,

But C=13 inches

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Next, we take A=2.5 inches, B=6 inches

Next, we take A=2.5 inches, B=4 inches

*6.25+16=169*

*22.25â‰ 169*

Taking A=5 inches and B=8 inches

From the above computation, the combination of A=5 inches and B=12 inches give a triangle with a hypothenuse of 13 inches.

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