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Martin is saving to buy a bike - Junior Cycle Mathematics - Question 1 - 2018

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Martin is saving to buy a bike. He has €100 saved to begin with. He saves another €20 each month. (i) Work out how much in total Martin will have saved after 4 mont... show full transcript

Worked Solution & Example Answer:Martin is saving to buy a bike - Junior Cycle Mathematics - Question 1 - 2018

Step 1

Work out how much in total Martin will have saved after 4 months.

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Answer

To calculate how much Martin saves in total after 4 months, we need to add his initial savings to the savings from the 4 months:

  1. Initial savings: €100

  2. Monthly savings: €20

  3. Amount saved over 4 months:

    €20 imes 4 = €80

  4. Total savings after 4 months:

    €100 + €80 = €180

Thus, Martin will have saved a total of €180 after 4 months.

Step 2

Work out how many months in total Martin must save for in order to have enough money to buy the bike.

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Answer

The bike costs €240. To find out how many months Martin needs to save in total:

  1. Calculate the remaining amount after the initial savings:

    €240 - €100 = €140

  2. Divide the remaining amount by the monthly savings:

    €140

    €20 = 7 months

Thus, Martin must save for a total of 7 months to afford the bike.

Step 3

Work out how much money Lisa saves each week.

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Answer

Lisa is saving for a laptop that costs €320. After 18 weeks, she will have enough money. We can set up the following:

  1. Calculate how much money Lisa needs to save:

    €320 - €50 = €270 (this is the amount she needs after her initial savings)

  2. Divide this amount by the number of weeks:

    €270 / 18 = €15

Therefore, Lisa saves €15 each week.

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