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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. (a) Margaret picks one of the four sauces a... 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

Margaret has 4 options for sauces. Therefore, the probability of picking Hot Sauce is given by:

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

Thus, the probability of picking Hot Sauce is ( \frac{1}{4} ) or 0.25.

Step 2

Fill in the spaces below to show three different combinations that Margaret could pick.

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Answer

Combination 2: Hot Sauce and Fried Chicken

Combination 3: BBQ Sauce and Tikka Chicken

Step 3

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

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Answer

Margaret can choose from 4 different sauces and 3 different types of chicken. The total combinations can be calculated as follows:

Total=4imes3=12Total = 4 imes 3 = 12
Thus, there are 12 different combinations that Margaret could pick.

Step 4

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

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Answer

To find the calories in mayonnaise, we can first sum the known calories:

Total calories in the wrap = 600 kcal

Calories from wrap = 150 kcal
Calories from fried chicken = 240 kcal
Calories from cheese = 130 kcal

Adding these gives:

150+240+130=520kcal150 + 240 + 130 = 520 \, kcal

Thus, the calories in mayonnaise are:

600520=80kcal600 - 520 = 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 a pie chart is always 360°. This represents the entire circle.

Step 6

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

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Answer

We know:

  • Total = 360°
  • Angle for wrap = 90°
  • Angle for fried chicken = 144°
  • Angle for cheese = To be determined
  • Angle for mayonnaise = To be determined

First, we calculate the angle for mayonnaise:

Anglemayonnaise=360°(90°+144°)=126°Angle_{mayonnaise} = 360° - (90° + 144°) = 126°

Next, we calculate the angle for cheese:

Anglecheese=130600×360°=78°Angle_{cheese} = \frac{130}{600} \times 360° = 78°

Step 7

Complete the pie chart below to show the information in the table.

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Answer

In the pie chart, label the angles as follows:

  • Wrap: 90°
  • Fried Chicken: 144°
  • Cheese: 78°
  • Mayonnaise: 126°

Make sure to clearly indicate each sector with the corresponding ingredient name and angle size.

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