sweets are sold loose or pre packed in 120g bags. the 120g bags are £1.49 each. the loose sweets are £0.89 for 100g. by calculating the price per gram which is better value
To calculate the price per gram and determine which option provides better value, we need to compare the cost of both options in relation to the weight.
For the pre-packed bags:
Price per gram = £1.49 ÷ 120g
For the loose sweets:
Price per gram = £0.89 ÷ 100g
Now, let's calculate the price per gram for each option:
Pre-packed bags:
£1.49 ÷ 120g = £0.0124167 per gram
Loose sweets:
£0.89 ÷ 100g = £0.0089 per gram
By comparing the price per gram, we can see that the loose sweets are cheaper. The loose sweets cost £0.0089 per gram, while the pre-packed bags cost £0.0124167 per gram. Therefore, the loose sweets offer better value for money.
To calculate the price per gram, we need to compare the cost of both options based on their weight. Here's how to do it:
1. For pre-packed bags:
The price of a 120g bag is £1.49. So, to find the price per gram, we divide the total cost (£1.49) by the total weight (120g):
Price per gram = £1.49 / 120g
2. For loose sweets:
The price of loose sweets is £0.89 for 100g. Again, to find the price per gram, we divide the cost (£0.89) by the weight (100g):
Price per gram = £0.89 / 100g
By comparing the two calculated prices per gram, we can determine which option is a better value.
compare 149/120 against 89/100
clearly one fraction is greater than 1, and the other is less than 1.