They rented out 5 self-propelled mowers and 20 riding mowers.
Data;
- Total number of tool rented out = 25
- Cost of tools rented = $900
System of Equations
To solve this problem, we have to write a system of equations to represent the problem.
since we have
- x = self - propelled mower
- y = riding mowers
Let's write equations with these variables.
[tex]x+y = 25...equation (i)\\20x+40y = 900...equation(ii)[/tex]
From equation (i)
[tex]x+y= 25\\x = 25 - y...equation(iii)[/tex]
Put equation (iii) into equation (ii)
[tex]20x+40y=900\\x = 25-y\\20(25-y)+40y=900\\\\500-20y+40y=900\\500+20y=900\\20y=900-500\\20y=400\\\frac{20y}{20}=\frac{400}{20}\\ y=20[/tex]
Let's substitute the value of y into equation(i)
[tex]x+y =25\\x+20 = 25\\x = 25 - 20\\x = 5[/tex]
From the calculations above, they rented 5 self-propelled mowers and 20 riding mowers.
Learn more on system of equations here;
https://brainly.com/question/13729904
