Question

One small 0.5-kg package of cheese contains 2000 calories. How many calories are contained in a large 15 -kg package? calories are contained in a large 15−kg package. (Type a whole number or a decimal.)

Answer 1

To find the number of calories in a 15-kg package of cheese, a proportional relation is used based on the calorie content of a smaller package, leading to the solution of 60,000 calories.

Step-by-step explanation:

The question involves a simple proportion calculation to determine how many calories are contained in a large 15-kg package of cheese, given that a small 0.5-kg package contains 2000 calories. To find the number of calories in the larger package, we can set up a proportional relation based on the weight and calorie content of the small package:

Calories in 0.5 kg : Weight of small package = Calories in 15 kg : Weight of large package

2000 calories : 0.5 kg = x calories : 15 kg

Cross-multiplying, we get:

0.5 kg * x calories = 2000 calories * 15 kg

Divide both sides by 0.5 kg to solve for x:

x = (2000 calories * 15 kg) / 0.5 kg

x = 60,000 calories

Thus, a large 15-kg package of cheese contains 60,000 calories.