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primary 5 | Maths
| Area & Volume
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Date Posted: 5 years ago
Views: 345
q no. 90 ? ? ?
?
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.
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
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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