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A shop sells chicken wraps - Junior Cycle Mathematics - Question 8 - 2019

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Question 8

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A shop sells chicken wraps. There are four different sauces and three different types of chicken, as shown in the table. | Sauce | Chicken | |------------... show full transcript

Worked Solution & Example Answer:A shop sells chicken wraps - Junior Cycle Mathematics - Question 8 - 2019

Step 1

Write down the probability that she picks Hot Sauce.

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Answer

The probability that Margaret picks Hot Sauce can be calculated by dividing the number of favorable outcomes (1) by the total number of possible outcomes (4 sauces). Thus, the probability is given by:

P(HotSauce)=14P(Hot Sauce) = \frac{1}{4}

Step 2

Combination 2: __________ and __________

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Answer

Combination 2: BBQ Sauce and Tikka Combination 3: Sweet Chilli and Fried

Step 3

Work out the total number of different possible combinations that Margaret could pick.

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Answer

To find the total number of combinations, multiply the number of sauces by the number of chicken types. Since there are 4 sauces and 3 chicken types:

Total=4×3=12Total = 4 \times 3 = 12

Step 4

Work out the number of calories in the mayonnaise in the wrap.

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Answer

To calculate the number of calories in the mayonnaise, subtract the sum of the calories from the wrap, fried chicken, and cheese from the total calories:

Total(Calorieswrap+Caloriesfriedchicken+Caloriescheese)=600(150+240+130)=600520=80Total - (Calories_{wrap} + Calories_{fried chicken} + Calories_{cheese}) = 600 - (150 + 240 + 130) = 600 - 520 = 80

So, the calories in the mayonnaise are 80 kcal.

Step 5

Write the total number of degrees in the pie chart in the appropriate space in the table above.

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Answer

The total number of degrees in any circle is 360°. Therefore, the total degrees in the pie chart is:

360°360°

Step 6

Work out the sizes of the two missing angles in the pie chart.

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The angles corresponding to the mayonnaise and cheese can be found by calculating the remaining degrees after accounting for the known angles:

  1. For mayonnaise: (80 calories)80600×360=48°(80 \text{ calories}) \rightarrow \frac{80}{600} \times 360 = 48°

  2. For cheese: (130 calories)130600×360=78°(130 \text{ calories}) \rightarrow \frac{130}{600} \times 360 = 78°

Step 7

Complete the pie chart below to show the information in the table. Label each sector clearly with the name of the ingredient and the size of the angle.

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Answer

The pie chart can be divided into four sectors:

  • Wrap: 90°
  • Fried Chicken: 144°
  • Cheese: 78°
  • Mayonnaise: 48°

Each of these sectors should be labeled accordingly.

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