M = number of mowing jobs
S = number of snow shoveling jobs
M + S = 10
200M + 180 S = 1880
======================
Multiply the first equation by 200
200M + 200 S = 2000
Subtract the last two.
20 S = 120
S = 6
etc.
How would you set this up!! I know you have to do a system of equations! Thx in advance <3
S = number of snow shoveling jobs
M + S = 10
200M + 180 S = 1880
======================
Multiply the first equation by 200
200M + 200 S = 2000
Subtract the last two.
20 S = 120
S = 6
etc.
The amount you earned from mowing 10 households is given by $200 multiplied by the number of households, so the total amount earned from mowing is 200x dollars. Similarly, the total amount earned from shoveling is 180y dollars.
You earned a total of $1880, so the sum of the amounts earned from mowing and shoveling should equal $1880. Hence, we have the equation:
200x + 180y = 1880
We also know from the problem statement that you mowed for 10 households and shoveled for 10 households, so we have the equation:
x + y = 10
Now, you have a system of equations. You can solve this system by substitution or elimination methods to find the values of x and y, which represent the number of households you mowed and shoveled for, respectively.