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Kyle has a job in Cashel Cineplex - Junior Cycle Mathematics - Question 3 - 2017

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Kyle has a job in Cashel Cineplex. He works every Friday and Saturday, from 6 p.m. to 11 p.m. (a) (i) How many hours does Kyle work every week? (ii) Kyle earns €... show full transcript

Worked Solution & Example Answer:Kyle has a job in Cashel Cineplex - Junior Cycle Mathematics - Question 3 - 2017

Step 1

How many hours does Kyle work every week?

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Answer

Kyle works every Friday and Saturday from 6 p.m. to 11 p.m., which totals:

  • From 6 p.m. to 11 p.m. is 5 hours per day.
  • Therefore, he works: 5 hours/day × 2 days = 10 hours/week.

Step 2

Kyle earns €95 in total every week. Work out how much he earns per hour.

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Answer

To find the hourly wage:

  • Total earnings per week = €95
  • Total hours worked per week = 10 hours
  • Earnings per hour = ( \frac{95}{10} = €9.50 ) per hour.

Step 3

Kyle saves 70% of the €95 he earns each week. He spends the remainder of this money each Sunday. Work out how much money he spends each Sunday.

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Answer

Kyle saves 70% of his total earnings:

  • Savings = 0.7 × €95 = €66.50
  • Money spent = Total earnings - Savings = €95 - €66.50 = €28.50

Thus, Kyle spends €28.50 each Sunday.

Step 4

Find how many grams of honey are made in total by the bees in these 20 beehives.

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Answer

To calculate the total honey produced:

  • Total bees = 20 beehives × 60000 bees/beehive = 1,200,000 bees
  • If each bee makes an average of 0 to 7 grams of honey, we take the average for calculations:

Average honey per bee = ( \frac{0 + 7}{2} = 3.5 )

Total honey = 1,200,000 bees × 3.5 grams/bee = 4,200,000 grams

In scientific notation, this is expressed as: 4.2 × 10^6 grams.

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