Question

In one day, The Tool Shed rented out 25 self-propelled and riding mowers for a total fee of $900. The dolly rental cost was $20 for each self-propelled mower and $40 for each riding mower. Find the number of self-propelled mowers "(x)" and the number of riding mowers " (y)' rented for that day

Answer 1

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.

$x+y = 25...equation (i)\\20x+40y = 900...equation(ii)$

From equation (i)

$x+y= 25\\x = 25 - y...equation(iii)$

Put equation (iii) into equation (ii)

$20x+40y=900\\x = 25-y\\20(25-y)+40y=900\\\\500-20y+40y=900\\500+20y=900\\20y=900-500\\20y=400\\\frac{20y}{20}=\frac{400}{20}\\ y=20$

Let's substitute the value of y into equation(i)

$x+y =25\\x+20 = 25\\x = 25 - 20\\x = 5$

From the calculations above, they rented 5 self-propelled mowers and 20 riding mowers.

Learn more on system of equations here;

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