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Zorluk: KolayUnit Price Comparisons

A cafeteria chef is purchasing black pepper. A 44-ounce jar of black pepper costs $8.00\$8.00. A 11-pound container of the same black pepper costs $16.00\$16.00. How much money is saved per ounce by purchasing the 11-pound container instead of the 44-ounce jar?

  1. A
    \$1.90
  2. B
    \$14.00
  3. \$1.00Cevap
  4. D
    \$0.50

Cevap

The correct answer is $1.00\$1.00 saved per ounce.
The unit price of the 44-ounce jar is calculated by dividing its cost by its size: $8.00÷4 ounces=$2.00\$8.00 \div 4 \text{ ounces} = \$2.00 per ounce. Next, convert the 11-pound container to ounces, knowing that 1 pound=16 ounces1 \text{ pound} = 16 \text{ ounces}. The unit price of the 11-pound container is $16.00÷16 ounces=$1.00\$16.00 \div 16 \text{ ounces} = \$1.00 per ounce. The savings per ounce is found by subtracting the lower unit price from the higher unit price: $2.00−$1.00=$1.00\$2.00 - \$1.00 = \$1.00.

Adım Adım Çözüm

1
Calculate the price per ounce for the 44-ounce jar.
$8.00÷4=$2.00\$8.00 \div 4 = \$2.00 per ounce
To compare prices, we need the unit price of the first option.
2
Convert the weight of the 11-pound container into ounces.
$1 \text{ pound} = 16 \text{ ounces}
Unit prices must be in the same measurement unit (ounces) to be compared.
3
Calculate the price per ounce for the 11-pound container.
$16.00÷16=$1.00\$16.00 \div 16 = \$1.00 per ounce
This establishes the unit price of the second option for comparison.
4
Subtract the lower unit price from the higher unit price to find the savings.
$2.00−$1.00=$1.00\$2.00 - \$1.00 = \$1.00 per ounce
The question asks for the exact amount of money saved per ounce.

Anahtar Kavram

Comparing unit prices requires converting different units of measurement into a common unit (like ounces) before dividing cost by quantity.
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