Question

You want to buy some vegetable oil that comes in two different sized bottles. A 1-pint bottle costs $1.75, and the other bottle is specially marked at 20% more oil for the same price. How much will you save per pint by purchasing the larger bottle?

a) $0.20
b) $0.35
c) $0.40
d) $0.50

Answer 1

The savings per pint when purchasing the larger bottle of vegetable oil, which contains 20% more oil for $1.75, is approximately $0.2917 per pint. However, rounding to the nearest cent and comparing to the options given, the closest correct answer would be (b) $0.35 per pint.

Step-by-step explanation:

To determine how much you will save per pint by purchasing the larger bottle of vegetable oil, we need to calculate the price per pint for both the 1-pint bottle and the larger bottle that offers 20% more oil for the same price. Here are the steps:

1. First, find out how much oil is in the larger bottle. A 20% increase on 1 pint (which is 16 ounces) gives us an additional 3.2 ounces, so the larger bottle contains 19.2 ounces.
2. Since there are 16 ounces in a pint, the larger bottle has 19.2 ounces / 16 ounces per pint = 1.2 pints.
3. Now, calculate the price per pint for the larger bottle by dividing the total cost by the number of pints: $1.75 / 1.2 pints = $1.4583 per pint.
4. Subtract this price per pint from the price per pint of the smaller bottle to find the savings: $1.75 per pint - $1.4583 per pint = $0.2917 per pint.
5. Finally, round to the nearest cent to find the most accurate savings amount in line with the given options, which is $0.29, or approximately $0.30.

Based on our calculations, the closest answer to the actual savings of $0.2917 per pint is option (c) $0.35, but since we need to round to the nearest option provided, we would select (b) $0.35 as the closest correct answer.