Question

Bags of sugar come in 3 sizes.

Small bag: A 225 g bag costs 88p.
Medium bag: A 550 g bag costs £1.88.
Large bag: A 1.25 kg bag costs £3.89.
Find the cost per gram for each bag of sugar.
Round your answers to 3dp.
Write which size of bag is best value for money in the comment box.
Small
Medium
Large

Answer 1

The large bag of sugar offers the best value for money with a cost per gram of 0.003 GBP, after calculating and comparing the cost per gram for all three bags of sugar.

Step-by-step explanation:

To determine which size of sugar bag provides the best value for money, we calculate the cost per gram for each bag by dividing the cost of the bag by its weight in grams. We then round each result to three decimal places (3dp).

• Small bag: 225 g for 88p. Cost per gram = 88p ÷ 225g = 0.391p per gram, or 0.004 GBP per gram when converted to pounds (rounded to 3dp).
• Medium bag: 550 g for £1.88. Cost per gram = £1.88 ÷ 550g = 0.342p per gram, or 0.003 GBP per gram (rounded to 3dp).
• Large bag: 1.25 kg for £3.89. Note that 1 kg equals 1000 grams, so 1.25 kg is 1250 g. Cost per gram = £3.89 ÷ 1250g = 0.311p per gram, or 0.003 GBP per gram (rounded to 3dp).

Upon comparing the cost per gram, the large bag offers the best value for money, with the lowest cost per gram of sugar.