A shop sells tea bags in boxes of 80 and in boxes of 120.
A box of 80 tea bags costs $2.36.
a Work out the cost of 40 of these tea bags.
A box of 120 tea bags $3.45.
b Work out the cost of 40 of these tea bags.
c Which box of tea bags is better value for money?
a) 40 tea bags would be half of an 80-tea bag box, so it would cost half the price of a box, which would be:
2.36 ÷ 2 = $1.18
Therefore, 40 tea bags cost $1.18.
b) 40 tea bags would be one-third of a 120-tea bag box, so it would cost one-third of the price of a box, which would be:
3.45 ÷ 3 = $1.15
Therefore, 40 tea bags cost $1.15.
c) Since 40 tea bags cost less in the box of 120 than in the box of 80, the box of 120 is better value for money.
a) To work out the cost of 40 tea bags in a box of 80, you need to find the cost per tea bag and then multiply it by the number of tea bags you want.
Cost per tea bag = Cost of box / Number of tea bags in the box
Cost per tea bag = $2.36 / 80
Now, multiply the cost per tea bag by the number of tea bags you want:
Cost of 40 tea bags = Cost per tea bag * Number of tea bags
Cost of 40 tea bags = ($2.36 / 80) * 40
b) To work out the cost of 40 tea bags in a box of 120, use the same method:
Cost per tea bag = Cost of box / Number of tea bags in the box
Cost per tea bag = $3.45 / 120
Now, multiply the cost per tea bag by the number of tea bags you want:
Cost of 40 tea bags = Cost per tea bag * Number of tea bags
Cost of 40 tea bags = ($3.45 / 120) * 40
c) To determine which box of tea bags is better value for money, compare the costs per tea bag for both boxes. The box with the lower cost per tea bag is better value for money.