**A baker is using a cookie recipe that call for 2 ¼ cups of flour to yield 36 cookies. How much flour will the baker need to make 90 cookies using the same recipe?**

6 ¾ cups

5 5/8 cups

10 1/8 cups

4 ¾ cups

*Correct Answer : B*

We are asked to find the number of cups of flour that will be used to make 90 cookies.

Letting x be the number of cups of flour and setting the proportion equation with number of cookies on numerator and number of cups of flour on the denominator. We have

Solve the value of x by cross-multiplying

We convert the mixed fraction into improper fraction in order to carry out multiplication

\(x =\ \frac{9}{4}\ cups\ *\ 90\ cookies\ *\ \frac{1}{36}\ cookies\)

The number of cups of flour needed to make 90 cookies is 5.625 cups, which is equal to 5 5/8 cups(Choice B).

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The value 91.44 cm is close to 90 cm. Therefore, 1 yard is approximately 90 cm.

### Correct Answer is A

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First, the pizza is whole, representing a value of 1. Then, one friend ate half of the pizza. Thun, the fraction of the pizza the friend gets is:

First friend eats =1/2 of 1=1/2

Remaining fraction of the pizza=1-1/2=1/2

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The number of boxes is determined by finding the volume of the room divided by the volume of the box.

Number of boxes

The approximate number of boxes that can be stored in the room is 92.

However, the room’s dimensions are 9 ft x 9 ft x 9 ft, and the boxes are 2 ft x 2 ft x 2 ft (unchangeable shape). To determine how many boxes fit along each dimension:

- In the 9 ft length, you can fit\(\frac{9}{2} = 4.5\ boxes\) which means only 4 whole boxes fit along this dimension.
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### Correct Answer is C

#### Explanation

We need to find the are of the rectangle from the given case. Letting x represent the width of the rectangle. Then, we can find the area of the rectangle as follows.

Length of rectangle=(x+5)

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Area of the rectangle, A= Length*width=(x+5)*x

A=x(x+5)

Thus, the area of the rectangle is x(x+5).

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Thus, 0.5 L is 500 mL.

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To find the circumference, we need to find the radius of the circle from the given area.

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* *

### Correct Answer is A

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To find the cost-effective option, we need to find how much the consumer will spend for the given options:

2 packs of Orange and 1 pack of Cream Soda will cost $18+$5= $23

3 Packs of Orange will cost $18+$10=$28

2 packs of Root Beer and 1 pack of Cream Soda will cost 2($12)+$5=$29

5 packs of cream Soda will cost 5($5)=$25

From the above evaluation, the consumer will spend $23 for a cost effective package of soft drinks. Thus, 2 packs of Orange and 1 pack of Cream Soda will be cheaper to purchase compared to other options.

### Correct Answer is C

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### Correct Answer is C

#### Explanation

The question requires us to find the percentage change in weight of a person.

First, we need to find the change in weight over the 3 months

Change in weight= 180-160=20 lb

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