Last year you mowed grass and shoveled snow for 22 households. You earned $150 per household mowing for the entire season and $225 per household shoveling the entire season.

If you earned a total of $3900 last year, how many households did you mow and shovel for last year?​

Step-by-step explanation:

Let x be the number of households you mowed grass.

Let y be the number of households you shoveled snow.

From there, we know,

as equation 1.

next we also know,

as equation 2.

From here we know we can solve using simultaneous equations.

rearranging equation 1 with y the subject,

Substitute this equation into equation 2.

now substitute x = 14 into equation 1.

Therefore, you have mowed grass for 14 households and shovelled snow for 8 households.

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)