1) A cold drink seller had three types of cold drink .403 liters of Ist kind ,434 liters of 2nd kind and 465 liters of 3rd kind .Find the maximum possible number of casks of equal size in which different types of cold drink can be filled without mixing.
2) Jannat is preparing dinner plates .She has 12 pieces of chicken and 16 rolls .If she wants to make all the plates identical without any food left over ,what is the greatest number of plates Jannat can prepare?
Answers
Answer:
1.) For the least possible number of casks of equal size, the size of each cask must be of the greatest capacity. Hence, the capacity of the cask will be equal to the HCF of 403 l, 434 l and 465 l.
Now, HCF of 403 and 434.
Required HCF= HCF of 31 and 465
∴ Required HCF = 31 litres = Capacity of a cask.
∴ required number of casks =
403
+
434
+
465
31 31 31
Hence , required number of casks = 13 + 14 + 15 = 42
Step-by-step explanation:
2.) To make all the plates identical and find the greatest number of plates, we have to find the greatest number which can divide 12 and 16 exactly.
That is nothing but H.C.F of 12 and 16.
12 =
2
×
2
×
3
16 =
2
×
2
×
2
×
2
Greatest factor is
2
×
2
=
4
H.C.F of 12, 16 = 4
∴
12 samosas would be served in 4 plates at the rate of 3 pieces per plate.
And 16 rolls would be served in 4 plates at the rate of 4 rolls per plate.
In this way, each of the 4 plates would have 3 samosas and 4 rolls. And all the 4 plates would be identical.
∴
greatest number of plates Lilly can prepare is 4.
.Answer:
1)
Factors of
403 = 13x31
434 = 2x7x31
465 = 5x3x31
HCF = 31.
The volume of the cans should be 31 litres, each. The minimum number of such cans is 42 of which 13 will be for the 1st wine, 14 for the 2nd wine and 15 for the 3rd wine.
_____________________________________
2)
you need to calculate the Great common factor or highest common factor.
HCF of 12 and 16 is 4
How?
common factors of 12 = 1,2,3,4,6,16
common factors of 16= 1,2,4,16
The highest common factor from the above is 4.
What does this 4 mean?
4 is the no of dinner plates you need to have to divide the brown breads and rolls equally
If the no of plates are 4, then how will you keep the brown breads and rolls in each plate?
12 brown breads ÷ 4 plates = 3 breads in each plate
ou need to calculate the Great common factor or highest common factor.
HCF of 12 and 16 is 4
How?
common factors of 12 = 1,2,3,4,6,16
common factors of 16= 1,2,4,16
The highest common factor from the above is 4.
What does this 4 mean?
4 is the no of dinner plates you need to have to divide the brown breads and rolls equally
If the no of plates are 4, then how will you keep the brown breads and rolls in each plate?
12 brown breads ÷ 4 plates = 3 breads in each plate
16 rolls ÷ 4 plates = 4 rolls in each plate
You can try this practically as well to understand the concept.