At a deli counter, someone buys: 1 3/4​ pounds of ham for $14.50, 2 1/2​ pounds of turkey for $26.25, and 3/8​ of a pound of roast beef for $5.50. Which deli meat is the least expensive per pound?

Respuesta :

Ham

Change each mixed numeral or fraction into a decimal number, and divide each price by its weight.

Ham: ($14.50)/(1 3/4 lb) = $14.50/(1.75 lb) = $8.29/lb

Turkey: ($26.25)/(2 1/2 lb) = $26.25/(2.5 lb) = $10.50/lb

Roast beef: ($5.50)/(3/8 lb) = $5.50/(0.375 lb) = $14.67/lb

The least expensive per pound is ham.

The deli meat is the least expensive per pound is ham meat costing $8.29 per pound

Cost per pound

Given:

Cost of 1 3/4 pounds of ham = $14.50

Cost per pound = 14.50 ÷ 1 3/4

= 14.50 ÷ 7/4

= 14.50 × 4/7

= 58/7

= $8.29 per pound

Cost of 2 1/2 pounds of turkey = $26.25

Cost per pound = 26.25 ÷ 2 1/2

= 26.25 ÷ 5/2

= 26.25 × 2/5

= 52.5/5

= $10.5 per pound

cost of 3/8 of a pound of roast beef = $5.50

Cost per pound = 5.50 ÷ 3/8

= 5.50 × 8/3

= 44/3

= $14.67 per pound

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