which is more economical purchasing the economy size of a detergent at 3 kilograms for 3.15 or purchasing the regular size at 800 grams for 60 cent
To compare the two options, we need to find the cost per unit of each size of detergent:
For the economy size:
3 kilograms = 3000 grams
Cost = $3.15
Cost per gram = $3.15 ÷ 3000g = $0.00105/g
For the regular size:
800 grams
Cost = $0.60
Cost per gram = $0.60 ÷ 800g = $0.00075/g
Therefore, the regular size detergent is more economical, as it costs less per gram ($0.00075/g) compared to the economy size ($0.00105/g).
To determine which option is more economical, we need to compare the cost per kilogram for each detergent size.
Economy size detergent:
Cost: $3.15
Weight: 3 kilograms
Regular size detergent:
Cost: $0.60
Weight: 800 grams (which is equal to 0.8 kilograms)
To calculate the cost per kilogram for each option, we divide the cost by the weight:
Economy size:
Cost per kilogram = $3.15 / 3 kg = $1.05 per kg
Regular size:
Cost per kilogram = $0.60 / 0.8 kg = $0.75 per kg
Comparing the cost per kilogram, we can see that the regular size detergent is more economical, costing $0.75 per kilogram compared to $1.05 per kilogram for the economy size. Therefore, purchasing the regular size detergent at 800 grams for $0.60 is the more economical option.