Soft Drinks Orange: Two 24-packs for $18; one 24-pack for $10 Root Beer: One 24-pack for $12 Cream Soda: One 12-pack for $5 A consumer needs to purchase at least 50 soft drinks for a picnic. Which of the following combinations is the most cost-effective?

A. 2 packs of Orange and 1 pack of Cream Soda

B. 3 packs of Orange

C. 2 packs of Root Beer and 1 pack of Cream Soda

D. 5 packs of cream Soda

Answer Explanation:

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.

Therefore, the Correct Answer is A.

Q #1: A bucket containing 2 4/5 gallons of water is 1/3 full. How many gallons of water is in one fully filled bucket?

A. 14/15

B. 2 7/15

C. 8 2/5

D. 6 4/5

Answer Explanation

We are asked to find the number of gallons full tank can hold. The fraction of full tank is 1.

First, we let x be the number of gallons in full tank. Then, set the proportion equation by setting the number of gallons on the numerator and fraction of tank on denominator as follows.

Convert the mixed fraction into proper fraction and cross-multiply to find the value of x.

Converting 42/5 to a mixed fraction is 8 2/5. Thus, when the tank is full, it holds 8 2/5 gallons of water.
Q #2: Which of the following is the decimal form of 87.5%?

A. 8,750

B. 875

C. 8.75

D. 0.875

Answer Explanation

Percentages are fractions with denominator equal to 100. The given percent is divided by 100. To convert it to a decimal form, we move the decimal point two points to the left from the current position. Thus

The decimal form of 87.5% is 0.875.
Q #3: To determine the cost of a pizza, the pizza parlor considers the diameter of the pizza, the number of toppings, and the amount of cheese. Which of the following is the dependent variable?

A. Amount of pizza

B. Dimeter of the pizza

C. Cost of the pizza

D. Number of toppings

Answer Explanation

We are asked to find the dependent variable from the given scenario. A dependent variable is one which varies with another variable. In this case, the cost of the pizza will change with the change in diameter of the pizza, number of toppings, and amount of cheese. In other words, the cost of the pizza depends on the three variables.

Therefore, cost is the dependent variable while the diameter of the pizza, number of toppings and amount of cheese are independent variables.