helen is organising a party and she needs plates and straws. there are 30 plates in a pack and 120 straws in a pack she needs exactly the same number of plates as straws.what is the minimum number of each pack she must buy?
Answers
Given,
1 pack of plates = 30 plates
1 pack of straws = 120 straws
She needs same number of plates as straws.
To find,
The minimum numbers of each pack, that she must buy.
Solution,
We can simply solve this mathematical problem by using the following mathematical process.
Now, first of all we have to calculate the number of total straws (or plates, as they will be equal in numbers) by doing LCM of the given values of : total plates in a pack and total straws in a pack. (We are doing LCM because we need the 'minimum number' of each packs.)
So, by doing LCM we get,
10 | 30,120
______
3 | 3,12
______
1,4
LCM = 10×3×4 = 120
Total number of total plates or total straws = 120
Number of packs of plates = Total number of plates / Plates in one pack = 120/30 = 4
Number of packs of straws = Total number of straws / Straws in one pack 120/120 = 1
Hence, she needs to buy atleast 4 packs of plate and 1 pack of straw.