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Math  /  Data & Statistics

Questionc. 1 teaspoon of myrrh?
3 At a deli counter, - Someone bought 1341 \frac{3}{4} pounds of ham for $14.50\$ 14.50. - Someone bought 2122 \frac{1}{2} pounds of turkey for $26.25\$ 26.25. \qquad - Someone bought 38\frac{3}{8} pound of roast beef for $5.50\$ 5.50. 26.93×25=1.82.54526.93 \times \frac{2}{5}=1 . \frac{82.54}{5} 5:50 ×83=443=14.6\times \frac{8}{3}=\frac{44}{3}=14.6
Which meat is the least expensive per pound? Which meat is the most expensive per pound? Explain how you know. 48.29 □\square st expenste \qquad racest pen pound. The Practice Problems

Studdy Solution

STEP 1

1. We have three types of meat: ham, turkey, and roast beef.
2. We need to calculate the price per pound for each type of meat.
3. The least expensive meat per pound will have the lowest price per pound, and the most expensive will have the highest price per pound.

STEP 2

1. Calculate the price per pound for each type of meat.
2. Compare the prices per pound to determine the least and most expensive meat.

STEP 3

Calculate the price per pound for ham. - Total cost of ham: \$14.50 - Total weight of ham: \(1 \frac{3}{4}\) pounds = \(\frac{7}{4}\) pounds
Price per pound for ham:
Price per pound=14.5074=14.50×47=587≈8.29\text{Price per pound} = \frac{14.50}{\frac{7}{4}} = 14.50 \times \frac{4}{7} = \frac{58}{7} \approx 8.29

STEP 4

Calculate the price per pound for turkey. - Total cost of turkey: \$26.25 - Total weight of turkey: \(2 \frac{1}{2}\) pounds = \(\frac{5}{2}\) pounds
Price per pound for turkey:
Price per pound=26.2552=26.25×25=52.55=10.50\text{Price per pound} = \frac{26.25}{\frac{5}{2}} = 26.25 \times \frac{2}{5} = \frac{52.5}{5} = 10.50

STEP 5

Calculate the price per pound for roast beef. - Total cost of roast beef: \$5.50 - Total weight of roast beef: \(\frac{3}{8}\) pound
Price per pound for roast beef:
Price per pound=5.5038=5.50×83=443≈14.67\text{Price per pound} = \frac{5.50}{\frac{3}{8}} = 5.50 \times \frac{8}{3} = \frac{44}{3} \approx 14.67

STEP 6

Compare the prices per pound: - Ham: ≈8.29\approx 8.29 - Turkey: 10.5010.50 - Roast Beef: ≈14.67\approx 14.67
The least expensive meat per pound is ham, and the most expensive meat per pound is roast beef.
The least expensive meat per pound is ham, and the most expensive meat per pound is roast beef.

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