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primary 5 | Maths | Area & Volume
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Tinker
Tinker

primary 5 chevron_right Maths chevron_right Area & Volume chevron_right Singapore

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Date Posted: 4 years ago
Views: 310
snell
Snell
4 years ago
q no. 90 ? ? ?
Tinker
Tinker
4 years ago
?
J
J
4 years ago
Find the lowest common multiple of 5,9 and 2.

Listing method :

Customers who get free drink :
2,4,6,8,(10),12,14,16,18 (20),22,24,26,28,(30), and so on ...

Customers who get free sweet :
(10),15,(20),25,(30), and so on...

From the above we see that every 10th customer gets both a sweet and a drink.
(Those numbers in brackets are common)



So Customers who get both free sweet an drink :

10,20,30,40,50,60,70,80,90,100


Now, Customers who get free chocolate :
9,18,27,36,45,54,63,72,81,90,99

As you can see customer 90 is the number which gets all 3.


Alternatively :

2 = 2 x 2
10 = 2 x 5
9 = 3 x 3


The smallest number to contain all the prime factors is

2 x 5 x 3 x 3 = 90


So customer 90 gets all 3.

See 1 Answer

Answer is 90
List down all the multiple until 100 the common multiple between 2,5 and 9 is 90
Thus answer is 90
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Sheng hong
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