1/5 of the population cycle to work. if 2/3 of these cyclists ride mountain bikes, what fraction of the population cycle with mountain bikes to work?

Step-by-step explanation:

Let's change the denominator of

to 15 as it is the lowest common multiple of both denominators, 5 and 3.

Now, think of it this way, there are 15 people cycling and

of them cycle to work.

Out of these 15 cyclists, 3 of them go to work. As

of these remainders cycle via mountain bikes, we can find how many people ride mountain bikes to work.

As there was a total of 15 people at the start and 2 who rode mountain bikes to work, the fraction of the population who rides mountain bikes to work will be

Short

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

$6.42

step-by-step explanation: