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Juliette loves to eat ice cream and spends a fortune each week buying it. In an effort to save money, she is considering making her own ice cream at home. The cost of an ice cream maker is $195 and the cost of ingredients is $6 for each 1.5 L batch. The cost of the same 1.5 L is $8 at the store. If she eats three litres of ice cream per month, will she save money by making her favourite treat at home? Assume the ice cream maker has a one-year warranty and breaks immediately after.

Question

Juliette loves to eat ice cream and spends a fortune each week buying it. In an effort to save money, she is considering making her own ice cream at home. The cost of an ice cream maker is 195andthecostofingredientsis195 and the cost of ingredients is 6 for each 1.5 L batch. The cost of the same 1.5 L is $8 at the store. If she eats three litres of ice cream per month, will she save money by making her favourite treat at home? Assume the ice cream maker has a one-year warranty and breaks immediately after.

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Solution

To answer this question, we need to calculate the total cost of making ice cream at home and compare it with the cost of buying it from the store.

First, let's calculate the cost of making ice cream at home for a year:

  1. The cost of the ice cream maker is $195. This is a one-time cost.
  2. Juliette eats 3 litres of ice cream per month. Since each batch of homemade ice cream is 1.5 litres, she will need to make 2 batches per month. This means she will spend 62=6 * 2 = 12 on ingredients per month.
  3. Over a year (12 months), the cost of ingredients will be 1212=12 * 12 = 144.
  4. So, the total cost of making ice cream at home for a year is 195(fortheicecreammaker)+195 (for the ice cream maker) + 144 (for the ingredients) = $339.

Now, let's calculate the cost of buying ice cream from the store for a year:

  1. Each 1.5 litre of ice cream costs 8atthestore.SinceJulietteeats3litrespermonth,shewillspend8 at the store. Since Juliette eats 3 litres per month, she will spend 8 * 2 = $16 per month.
  2. Over a year, the cost of buying ice cream from the store will be 1612=16 * 12 = 192.

Comparing the two costs, we can see that making ice cream at home (339)ismoreexpensivethanbuyingitfromthestore(339) is more expensive than buying it from the store (192). Therefore, Juliette will not save money by making her favourite treat at home.

This problem has been solved

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