Last year you mowed grass and shoveled snow for 10 households. You earned $200 per household mowing for the entire season & $180 per household for shoveling the entire season. If you earned a total of $1880 last year, how many households did you mow and shovel for?!
How would you set this up!! I know you have to do a system of equations! Thx in advance <3
M = number of mowing jobs
S = number of snow shoveling jobs
M + S = 10
200M + 180 S = 1880
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Multiply the first equation by 200
200M + 200 S = 2000
Subtract the last two.
20 S = 120
S = 6
etc.
To solve this problem, you can set up a system of equations to represent the given information. Let's denote the number of households you mowed for as "x" and the number of households you shoveled for as "y."
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.