Math  /  Numbers & Operations

Question13. A bus to Belfast leaves Antrim Bus Station every 25 minutes. The first bus each day leaves at 7 am . Darren wants to get a bus after 8 am. What time is the first suitable bus? \qquad (2)
14. A blue light flashes every 8 seconds.

A red light flashes every 12 seconds. Both lights have just flashed together. After how many seconds will both lights flash together? \qquad (2)
15. Kelly is organising a barbecue.

She needs bread rolls and burgers. Bread rolls are sold in packs of 20. Burgers are sold in packs of 12. Kelly buys exactly the same number of bread rolls as burgers. What is the least number of each pack that Kelly buys? \qquad packs of bread rolls \qquad packs of burgers (3) @ CORBETTMATHS 2014

Studdy Solution
Find the least common multiple (LCM) of 20 and 12.
- List the multiples of 20: 20, 40, 60, 80, 100, ... - List the multiples of 12: 12, 24, 36, 48, 60, ...
The LCM of 20 and 12 is 60.
Kelly needs 60 bread rolls and 60 burgers.
- Packs of bread rolls: 6020=3 \frac{60}{20} = 3 - Packs of burgers: 6012=5 \frac{60}{12} = 5
Kelly buys 3 packs of bread rolls and 5 packs of burgers.
The solutions are:
1. The first suitable bus after 8 am is at 8:15 am.
2. Both lights will flash together again after 24 seconds.
3. Kelly buys 3 packs of bread rolls and 5 packs of burgers.

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