rivera8
14.07.2019 •
Mathematics
Kurt has a jar of marbles. six of the marbles are blue. the probability of randomly drawing a blue marble is 1/5. when kurt adds more blue marbles to the jar, the probability of drawing a blue marble becomes 1/4. how man blue marbles did kurt add to the jar?a) 1 b) 2 c) 3 d) 4
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Ответ:
Remark
Interesting question. One out every 5 marbles is blue. If you have 6 marbles in there then the fraction is 6/x. Your first step is to solve for x. Then you dilute the contents of the jar by adding a new number (x) of marbles and the probability becomes 1/4.
Step One
Find the number of marbles before any more were added.
1/5 = 6/x Cross multiply
x = 30 So there were 30 marbles to start with.
Step Two
Now he adds x marbles to both the blue and the total and the probability becomes 1/4. Set that up
4(x + 6) = x + 30 Remove the brackets.
4x + 24 = x + 30 Subtract 24 from both sides.
4x = x + 30 - 24
4x = x + 6 Subtract x from both sides.
4x - x = 6
3x = 6 Divide by 3
x = 6/3
x = 2
Answer
He added 2 blue marbles. Note that you don't have to know anything about the rest of the marbles, except that they are not blue.
Ответ:
The answer is x=17
Step-by-step explanation:
−2x+8−8=−26−8
−2x=−34
−2x /−2 = −34 /−2
x=17