Examkin

Question

Difficulty: EasyUnit Price Comparisons

A quartermaster is evaluating different vendors to purchase AA batteries. Calculate the price per battery for each option and arrange the vendors in order from the lowest unit price to the highest unit price.

  1. 1Vendor Delta: 3030 batteries for $21.00\$21.00
  2. 2Vendor Bravo: 1212 batteries for $9.60\$9.60
  3. 3Vendor Alpha: 1010 batteries for $9.00\$9.00
  4. 4Vendor Charlie: 22 batteries for $2.50\$2.50

Answer

Vendor Delta, Vendor Bravo, Vendor Alpha, Vendor Charlie
The correct sequence is found by evaluating the cost per single battery for each vendor. By dividing the total cost by the quantity provided, we find that Vendor Delta offers the lowest rate at $0.70\$0.70 per battery. Vendor Bravo follows at $0.80\$0.80 per battery, Vendor Alpha at $0.90\$0.90 per battery, and Vendor Charlie is the most expensive at $1.25\$1.25 per battery. Arranging these calculated unit prices from smallest to largest provides the correct order.

Step-by-Step Solution

1
Calculate the unit price for Vendor Alpha.
$9.00÷10=$0.90\$9.00 \div 10 = \$0.90 per battery.
To find the cost of a single battery, divide the total cost by the quantity.
2
Calculate the unit price for Vendor Bravo.
$9.60÷12=$0.80\$9.60 \div 12 = \$0.80 per battery.
To find the cost of a single battery, divide the total cost by the quantity.
3
Calculate the unit price for Vendor Charlie.
$2.50÷2=$1.25\$2.50 \div 2 = \$1.25 per battery.
To find the cost of a single battery, divide the total cost by the quantity.
4
Calculate the unit price for Vendor Delta.
$21.00÷30=$0.70\$21.00 \div 30 = \$0.70 per battery.
To find the cost of a single battery, divide the total cost by the quantity.
5
Order the calculated unit prices from lowest to highest.
$0.70\$0.70 (Delta) < $0.80\$0.80 (Bravo) < $0.90\$0.90 (Alpha) < $1.25\$1.25 (Charlie)
This establishes the correct sequence from the most cost-effective to the least cost-effective option.

Key Concept

Unit price is calculated by dividing the total price by the number of units. Comparing these prices reveals the lowest cost per item.
Rate this question

Topics

Unit Price Comparisons

More questions from this topic