Question

to make a bakery’s signature chocolate muffins, a baker needs 2.5 ounces of chocolate for each muffin. how many pounds of chocolate are needed to make 48 signature chocolate muffins? (1 pound = 16 ounces) a) 7.5 b) 10 c) 50.5 d) 120 31 horsepower and watts are units of measure of power. they are directly proportional such that 5 horsepower is equal to 3730 watts. how much power, in watts, is equal to 2 horsepower? 3 if a 3-pound pizza is sliced in half and each half is sliced into thirds, what is the weight, in ounces, of each of the slices? (1 pound = 16 ounces) a) 4 b) 6 c) 8 d) 16 2 a quality control manager at a factory selects 7 lightbulbs at random for inspection out of every 400 lightbulbs produced. at this rate, how many lightbulbs will be inspected if the factory produces 20,000 lightbulbs? a) 300 b) 350 c) 400 d) 450

Explanation:

First Question (Chocolate Muffins)

Step1: Calculate total ounces of chocolate

To find the total ounces of chocolate needed for 48 muffins, we multiply the ounces per muffin (2.5) by the number of muffins (48). So, $2.5\times48 = 120$ ounces.

Step2: Convert ounces to pounds

Since 1 pound = 16 ounces, we divide the total ounces by 16 to get pounds. So, $\frac{120}{16}=7.5$ pounds.

Step1: Find the conversion factor per horsepower

First, we find how many watts are in 1 horsepower. If 5 horsepower = 3730 watts, then 1 horsepower is $\frac{3730}{5}=746$ watts.

Step2: Calculate watts for 2 horsepower

Now, to find the watts for 2 horsepower, we multiply the watts per horsepower (746) by 2. So, $746\times2 = 1492$ watts. (Note: If we use proportionality directly: Let $x$ be watts for 2 hp. Then $\frac{5}{3730}=\frac{2}{x}$, cross - multiply gives $5x = 3730\times2$, $x=\frac{3730\times2}{5}=1492$)

Step1: Find total number of slices

The pizza is first sliced in half, so 2 halves. Then each half is sliced into thirds, so each half has 3 slices. So total slices are $2\times3 = 6$ slices.

Step2: Convert pizza weight to ounces

The pizza is 3 pounds, and since 1 pound = 16 ounces, the total weight in ounces is $3\times16 = 48$ ounces.

Step3: Find weight per slice

To find the weight per slice, we divide the total ounces (48) by the number of slices (6). So, $\frac{48}{6}=8$ ounces. Wait, no, wait: Wait, 3 pounds is 48 ounces. Sliced in half: each half is 24 ounces. Then each half is sliced into thirds, so each slice is $\frac{24}{3}=8$? Wait, no, the options have 8 as option C? Wait, no, let's re - calculate. Wait, 3 pounds is 316 = 48 ounces. Sliced in half: 2 parts, each part is 24 ounces. Then each part is sliced into thirds: so total slices are 23 = 6. Then weight per slice is 48/6 = 8? But the options: A)4, B)6, C)8, D)16. Wait, maybe I made a mistake. Wait, 3 pounds is 48 ounces. Sliced in half: 2 halves, each half is 24 ounces. Then each half is sliced into thirds: so each slice is 24/3 = 8 ounces. So the answer is C)8? Wait, no, wait the question says "a 3 - pound pizza is sliced in half and each half is sliced into thirds". So total number of slices: 2*3 = 6. Total weight: 3 pounds=48 ounces. Weight per slice: 48/6 = 8 ounces. So the answer is C)8.

Answer:

A) 7.5

Second Question (Horsepower and Watts)