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13. A 400-g package of Swiss cheese costs $4.80.

a) What is the cost per 100

b) How much would 250 g cost

c) How much would 1 kg cost?

d) How much Swiss cheese could you buy with $18?

1 Answer

6 votes

Final answer:

a) The cost per 100 grams of Swiss cheese is $1.20. b) 250 grams of Swiss cheese would cost $3.00. c) 1 kg of Swiss cheese would cost $12.00. d) With $18, you could buy 1500 grams of Swiss cheese.

Step-by-step explanation:

a) To find the cost per 100 grams, we can set up a proportion. The package of Swiss cheese weighs 400 grams and costs $4.80. Let's call the cost per 100 grams x. The proportion is:

400 g / $4.80 = 100 g / x

Cross multiplying, we get:

400 * x = 100 * $4.80

x = 100 * $4.80 / 400

x = $1.20

Therefore, the cost per 100 grams is $1.20.

b) To find the cost of 250 grams, we can use the formula:

Cost = (Weight / 100) * Cost Per 100 grams

Plugging in the values, we get:

Cost = (250 / 100) * $1.20 = $3.00

Therefore, 250 grams would cost $3.00.

c) To find the cost of 1 kg, we can use the same formula:

Cost = (Weight / 100) * Cost Per 100 grams

Plugging in the values, we get:

Cost = (1000 / 100) * $1.20 = $12.00

Therefore, 1 kg would cost $12.00.

d) To find how much Swiss cheese you could buy with $18, we can use the formula:

Weight = (Amount / Cost Per 100 grams) * 100

Plugging in the values, we get:

Weight = ($18 / $1.20) * 100 = 1500 grams

Therefore, with $18, you could buy 1500 grams of Swiss cheese.

User Michael Condouris
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