Question

Given the following prices and unit conversions, rank the brands from lowest to highest unit price.

Brand A: $1.48 for 2.5 pounds
Brand B: $1.30 for 907.18 grams; 1 pound is approximately 453.59 grams
Brand C: $1.55 for 50 ounces; 1 pound is equal to 16 ounces
a.
Brand A, Brand B, Brand C
b.
Brand A, Brand C, Brand B
c.
Brand B, Brand A, Brand C
d.
Brand C, Brand A, Brand B

Answer 1

D

Explanation:

Unit prices are ratios, so you can add the two prices together and divide by the smaller unit price to get a usable number.

Answer 2

d.

Brand C, Brand A, Brand B

Explanation:

To find the unit price, we divide the price by the number of pounds.

Brand A: $1.48 for 2.5 pounds

Unit price of:

`(1.48)/(2.5) = 0.592`

Brand B: $1.30 for 907.18 grams; 1 pound is approximately 453.59 grams

907.18/453.59 = 2 pounds

Unit price of:

`(1.3)/(2) = 0.65`

Brand C: $1.55 for 50 ounces; 1 pound is equal to 16 ounces

50/16 = 3.125 pounds

Unit price of:

`(1.55)/(3.125) = 0.496`

From lowest to highest unit price:

C, A and B, so option d.