Question

Work out the unit rate and compare each of the items to find out which option is the cheapest and by how much.

The Butcher has the following meat cuts for sale-
Item Option A Option B

Chops ½ kg for $22.50 0.25 kg for $10.10

Answer 1

Option B is cheaper by $4.60 per kilogram of chops.

Explanation:

To compare the two options and find out which one is the cheapest, we need to calculate the unit rate for each item. The unit rate tells us the cost per unit of weight, which allows us to compare the prices of different package sizes.

For Option A, the unit rate for chops is:

$22.50 ÷ 0.5 kg = $45/kg

For Option B, the unit rate for chops is:

$10.10 ÷ 0.25 kg = $40.40/kg

Therefore, Option B has the lower unit rate and is the cheaper option for buying chops. To find out by how much, we can calculate the difference in price for the same amount of meat, such as 1 kg:

For 1 kg of chops, we need to buy 2 packages of Option A (2 x 0.5 kg = 1 kg), which would cost:

2 x $22.50 = $45

For 1 kg of chops, we need to buy 4 packages of Option B (4 x 0.25 kg = 1 kg), which would cost:

4 x $10.10 = $40.40

Therefore, Option B is cheaper by:

$45 - $40.40 = $4.60

So Option B is cheaper by $4.60 per kilogram of chops.