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08 Jul 2024, 08:43
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Hello everyone,
Good luck and a great competition to everyone.
May the green team win
My explanation for this question:
this is an mixure problem.
usually i approach this kind of questions by 2 possible methods:
Teeter-Totter or Algebra.
it is easier to explain the algebra via writing. so here is the explanation:
(1st + 2nd) * x% + (3rd) * y% = our 62% mixure
(100+100) * x% + (100) * y% = 62% * 300
200*x% + 100*y% = 186 (x% and y% can be expressed as x/100 and y/100, so I am dividing by 100)
2x+y = 186
now the fun part of trying the answer choices
lets start with the biggest of the 2x (Answer choice E)
2*65 + y = 186
130 + y = 186
y = 56
unfortunately, we don't have this answer in our answer choices. let move to Answer choice D
2*64 + y = 186
128 + y = 186
y = 58
Yep, we have it. we did it. We have the correct answer. just for who wants to verify. lets continue one more
2*60 + y = 186
120 + y = 186
y = 66
we exceeded the 65 (E) answer choice we have so this is out limit.
Good luck and a great competition to everyone.
May the green team win
My explanation for this question:
this is an mixure problem.
usually i approach this kind of questions by 2 possible methods:
Teeter-Totter or Algebra.
it is easier to explain the algebra via writing. so here is the explanation:
(1st + 2nd) * x% + (3rd) * y% = our 62% mixure
(100+100) * x% + (100) * y% = 62% * 300
200*x% + 100*y% = 186 (x% and y% can be expressed as x/100 and y/100, so I am dividing by 100)
2x+y = 186
now the fun part of trying the answer choices
lets start with the biggest of the 2x (Answer choice E)
2*65 + y = 186
130 + y = 186
y = 56
unfortunately, we don't have this answer in our answer choices. let move to Answer choice D
2*64 + y = 186
128 + y = 186
y = 58
Yep, we have it. we did it. We have the correct answer. just for who wants to verify. lets continue one more
2*60 + y = 186
120 + y = 186
y = 66
we exceeded the 65 (E) answer choice we have so this is out limit.
08 Jul 2024, 08:45
Kudos
Bookmarks
Total vapour in tons = 62% of 300 ton (total air in large container)= 186 ton
Now ,Let say there is x % of vapour in first 2 containers means vapour is = x % of 200ton (air) = 2x
and y% vapour in third container = y% of 100 ton(air) = y
Equation becomes,
2x + y = 186 ton
Now we can infer from this that y is even for sure (as getting summation as even )
so there are only 3 options for y (58,60 & 64)
Lets keep 58 in equation ,
we'll get x = 64 .
Hence, Answer is 64% for 1st 2 containers and 58 % for 3rd container.
Now ,Let say there is x % of vapour in first 2 containers means vapour is = x % of 200ton (air) = 2x
and y% vapour in third container = y% of 100 ton(air) = y
Equation becomes,
2x + y = 186 ton
Now we can infer from this that y is even for sure (as getting summation as even )
so there are only 3 options for y (58,60 & 64)
Lets keep 58 in equation ,
we'll get x = 64 .
Hence, Answer is 64% for 1st 2 containers and 58 % for 3rd container.
08 Jul 2024, 08:45
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Here is my explanation :
