Question

Many manufacturers reduce the size of their products to appear to reduce their prices.

The amount of cereal in a particular brand box was reduced by 2.1 ounces. This is a 14% reduction from the original amount. What was the original amount?

The original amount was
ounces.

Answer 1

2.44 ounces

Step-by-step explanation:

100% - 14% = 86%

2.1 ÷ 0.86 = 2.44

Answer 2

To calculate the original amount of cereal, set up the equation 0.14x = 2.1, where x is the original amount in ounces. Solving for x gives the original amount as _15 ounces.

Step-by-step explanation:

The student asked how to find the original amount of cereal when the size is reduced by a certain percentage. The question states that the amount of cereal in a particular brand box was reduced by 2.1 ounces, which represents a 14% reduction from the original amount. To find the original amount, we will use the following proportion since 14% is the percentage of the reduction based on the original amount.

Let the original amount of cereal be x ounces. Given that 14% of this original amount is 2.1 ounces, we can set up the equation:

0.14x = 2.1

To solve for x, we divide both sides by 0.14:

x = 2.1 / 0.14

Calculating the value we get:

x = 15 ounces

Hence, the original amount of cereal was 15 ounces.