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chuchi24
25.06.2019 •
Mathematics
Of 560 marbles in a bag, 65% are red and the rest are blue. after 28 red marbles are replaced with blue ones, how many blue marbles need to be added to the bag so that the 65% of all marbles are blue?
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Ответ:
The answer is 400 blue marbles.
Step-by-step explanation: Given that there are 560 marbles in a bag, out of which 65% are red and rest are blue.
So, number of red marbles is
and number of blue marbles is
Now, if 28 red marbles are replaced by blue marbles, the the new number of red and blue marbles will be
Now, to get 65% of the marbles blue, we need to add some more blue marbles to the bag. Let 'x' number of blue marbles are added to the bag, then
Thus, 400 blue marbles need to be added to the bag.
Ответ:
Further explanation:
Given
There are total 560 marbles in bag in which
are red and the rest are blue. It has been found that 28 red marbles has been replaced by blue marbles.
Step by step explanation:
Step 1:
It is given that
are red marbles and the total number of marbles are 560.
The total number of red marbles initially can be calculated as,
Therefore, the total number of red marbles initially are 364.
Step 2:
It is given that rest of the marbles are blue that means
of the total marbles.
The total number of blue marbles can be evaluated as,
Therefore, the total number of blue marbles initially are 364.
Step 3:
Now it is given that the 28 red marbles are replaced with blue marbles.
Now red marbles after the replacement can be evaluated as,
Now blue marbles after the replacement can be calculated as,
Therefore, the number of red marbles are 336 and the number of blue marbles are 224.
Step 4:
Now find the number of blue marbles added in the bag to maintain
blue marbles.
Consider
as the number of blue marbled added in the bag so that
of all marbles are blue.
Now determine an equation for the percent of blue marbles.
Step 5:
Now cross multiply the resultant equation and use the distributive property to obtain the value of
.
Further calculation for the value of
can be calculated as,
Therefore, 400 marbles are required to add in the bag so that
of all marbles area blue.
Learn more:
Learn more about the solution of the linear equation Learn more about the problem of the linear equation Learn more about equations of the area and perimeter of the rectangleAnswer details:
Grade: High school
Subject: Mathematics
Chapter: Permutation
Keywords: Blue marbles, red marbles, bag, cross multiply, added, replaced, total marbles, initially, replacement, distributive property, numbers
Ответ: