Which is more economical: purchasing the economy size of a detergent at 2
kilograms for $3.15
or purchasing the regular size at 880
grams for 60
cents?
To compare the two options, we need to find the cost per gram of detergent for each option.
For the economy size:
- 2 kilograms = 2,000 grams
- Cost = $3.15
- Cost per gram = $3.15 ÷ 2,000 g = $0.001575/g
For the regular size:
- 880 grams
- Cost = $0.60
- Cost per gram = $0.60 ÷ 880 g = $0.0006818/g
Therefore, the regular size is more economical at $0.0006818 per gram of detergent, compared to the economy size at $0.001575 per gram of detergent.
To determine which option is more economical, we need to compare the cost per kilogram of each option.
Option 1: Economy size of detergent - 2 kilograms for $3.15.
To find the cost per kilogram, divide the total price by the weight:
Cost per kilogram = $3.15 / 2 kg = $1.575 per kilogram.
Option 2: Regular size of detergent - 880 grams for 60 cents.
First, let's convert grams to kilograms:
880 grams = 880 / 1000 kg = 0.88 kg.
To find the cost per kilogram, divide the total price by the weight:
Cost per kilogram = $0.60 / 0.88 kg = $0.6818 per kilogram.
Comparing the cost per kilogram for each option, we find that:
- Option 1: Economy size - $1.575 per kilogram.
- Option 2: Regular size - $0.6818 per kilogram.
Therefore, purchasing the economy size of detergent is more economical, as it has a lower cost per kilogram.