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jorfos7683
12.05.2021 •
Mathematics
A bag contains only red and blue marbles. There are a total of 36 marbles in the bag. There are 5 red marbles for every 4 blue marbles in the bag.
Carl removes 1 blue marble from the bag. Carl says, “There are now 5 red marbles for every 3 blue marbles in the bag because 4 – 1 = 3.”
Explain the error in Carl’s reasoning. Calculate the correct ratio of red to blue marbles after Carl removes 1 blue marble, and be sure to include this in your explanation.
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Ответ:
let total no. of red marbles be x and blue marbles be y.
then according to first case
x + y =36
or,x=36 -y(i)
in case second
x/5 =y/4
or,x=5y/4(ii)
then from equation i and ii, we get
36-y = 5y/4
or, (36-y)4 = 5y
or, 144 -4y =5y
or, 144 = 5y + 4y
or, 144 = 9y
or, 144/9 =y
or, y = 16
again x = 36 -y
here , y =16
so,
x= 36 -16
x= 20.
hence total no. of red marbles is 20 and blue marbles is 16 .
If Carls removes 1 blue marble from bag, there will be 15 marbles in the bag,
20÷5 is not equal to 15 ÷3 .
correct ratio of red and blue marbles is 20÷15=
4/3.
Ответ:
144
Step-by-step explanation: