Math  /  Data & Statistics

Question3 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. - Someone bought 38\frac{3}{8} pound of roast beef for $5.50\$ 5.50.
Which meat is the least expensive per pound? Which meat is the most expensive per pound? Explain how you know.

Studdy Solution

STEP 1

1. The cost per pound for each type of meat is calculated by dividing the total cost by the total weight in pounds.
2. We need to compare the cost per pound for ham, turkey, and roast beef to determine which is least and most expensive.

STEP 2

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

STEP 3

Calculate the cost per pound for ham:
Total cost of ham = \$14.50
Total weight of ham = 1341 \frac{3}{4} pounds = 74\frac{7}{4} pounds
Cost per pound for ham:
14.5074=14.50×47=5878.29\frac{14.50}{\frac{7}{4}} = 14.50 \times \frac{4}{7} = \frac{58}{7} \approx 8.29

STEP 4

Calculate the cost per pound for turkey:
Total cost of turkey = \$26.25
Total weight of turkey = 2122 \frac{1}{2} pounds = 52\frac{5}{2} pounds
Cost per pound for turkey:
26.2552=26.25×25=52.55=10.50\frac{26.25}{\frac{5}{2}} = 26.25 \times \frac{2}{5} = \frac{52.5}{5} = 10.50

STEP 5

Calculate the cost per pound for roast beef:
Total cost of roast beef = \$5.50
Total weight of roast beef = 38\frac{3}{8} pound
Cost per pound for roast beef:
5.5038=5.50×83=44314.67\frac{5.50}{\frac{3}{8}} = 5.50 \times \frac{8}{3} = \frac{44}{3} \approx 14.67

STEP 6

Compare the costs per pound:
- Ham: 8.29\approx 8.29 - Turkey: 10.5010.50 - Roast beef: 14.67\approx 14.67
The least expensive per pound is ham at approximately \$8.29.
The most expensive per pound is roast beef at approximately \$14.67.
The least expensive meat per pound is ham, and the most expensive meat per pound is roast beef.

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