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Tom is baking for the school bake sale - Junior Cycle Mathematics - Question 2 - 2021

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Tom is baking for the school bake sale. He buys the following ingredients: Ingredient | Cost: A carton of milk | €1.22 A pound of butter | €3.75 A carton of eggs | ... show full transcript

Worked Solution & Example Answer:Tom is baking for the school bake sale - Junior Cycle Mathematics - Question 2 - 2021

Step 1

(a)(i) Work out the total cost of the ingredients.

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Answer

To find the total cost of the ingredients, we add the costs of each ingredient together:

  • Cost of milk: €1.22
  • Cost of butter: €3.75
  • Cost of eggs: €1.70

Calculating the total:

Total cost = €1.22 + €3.75 + €1.70 = €6.67

Step 2

(a)(ii) Tom pays for the ingredients with a €20 note. How much change should he get?

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To find the change Tom should get, we subtract the total cost from the amount he pays:

Change = Amount paid - Total cost
Change = €20.00 - €6.67 = €13.33

Step 3

(b) Fill in the two missing values in the table.

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Answer

Given the doubling ratio in ingredients for 24 cookies compared to 12 cookies:

  • For milk: Since 12 cookies require 50 ml, for 24 cookies, it would be double:

    Milk (ml) for 24 cookies = 50 ml × 2 = 100 ml

  • For butter, the amount required for 12 cookies can be calculated as follows:

    Butter (g) for 12 cookies = 180 g ÷ 2 = 90 g

The completed table looks like this:

Ingredient | 12 cookies | 24 cookies: Eggs | 2 | 4 Milk (ml) | 50 | 100 Butter (g) | 90 | 180

Step 4

(c) At what time does he check the oven?

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Tom puts the cookies in the oven at 10:50 a.m. and checks the oven 15 minutes later:

Check time = 10:50 a.m. + 15 minutes = 11:05 a.m.

Step 5

(d) Work out the volume of Tom’s cake tin. Give your answer in terms of π.

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Answer

The volume of a cylinder is given by the formula:

V=extπr2hV = ext{π}r^2h

where r is the radius and h is the height.
Here, the radius (r) = 10 cm / 2 = 5 cm and height (h) = 4 cm.

Substituting these values into the formula:

V=extπ(52)(4)=extπ(25)(4)=100extπV = ext{π}(5^2)(4) = ext{π}(25)(4) = 100 ext{π}

So the volume of Tom's cake tin is 100extπextcm3100 ext{π} ext{ cm}^3.

Step 6

(e) Work out the temperature that Tom uses.

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Answer

Tom reduces the baking temperature of 210° by 10%.
First, we calculate 10% of 210°:

10% of 210° = 0.10 × 210° = 21°

Then, we subtract this value from the original temperature:

New temperature = 210° - 21° = 189°

Therefore, the temperature that Tom uses is 189°.

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