I need help dont understand .please answer soon.
A business rents in-line skates and bicycles to tourists on vacation. A pair of skates rents for $5 per day. A bicycle rents for $20 per day. On a certain day, the owner of the business has 25 rentals and takes in $425.

Write a system of equation to represent this situation, then solve to find the number of each item rented. see example 3

Show both the equations and the solution.

So each pair of skates costs $5 to rent and each bike costs $20 to rent. This means we can multiply the price of each time the amount of each we want to rent.

So, for the skates we would multiply 5 * x to get the total amount spent on skates.

Similarly for the bikes, we would multiply 20 * y to get the total amount spent on bikes.

We know that a total of $425 was spent on skates and bikes that day.

So, we can add the total amount spent on skates and the total amount spent on bikes to get the total amount spent that day (which we are told is $425).

Therefore, we have 5x + 20y = 425.

Since we've established that x represents the number of skates and y represents the number of bikes we can add x and y to find the total number of rentals that day (which we are told is 25).

Therefore we have x+ y = 25.

Finally we solve for x and y. I will be using the elimination method.

Step 1 - write down system of equations

(1) 5x + 20y = 425

(2) x + y = 25

Step 2 - multiply the second equation (2) by -5 to eliminate x

-5(x+y=25)

which results in

(2) -5x - 5y = -125

Step 3 - rewrite system of equations using your new 2nd equation (2)

(1) 5x + 20y = 425

(2) -5x - 5y = -125

Step 4 - Add like-terms

Left hand side of equals symbol

5x + (-5x) = 0 (we have now eliminated x)

20y + (-5y) = 15y

Right hand side of equals symbol

425 + (-125) = 300

Since y was on the left side of the 2 equations we now have

15y = 300

Step 5 - Solve for y

15y = 300

We can divide both sides by 15 to isolate y, so

15y/15 = 300/15

which results in

y = 20

Since y represents the total number of bikes, we now know that 20 bikes were rented out that day.

Step 6 - Solve for x

Since we already have y, we can simply plug it into one of our original equations from our system of equations.

To make it simple, we can use our 2nd equation (2).

(2) x + y = 25

y = 20

x + 20 = 25

subtract 20 from both sides to isolate x.

so

x + 20 - 20 = 25 - 20

x = 5

Since x represents the total number of skates, we now know that 5 skates were rented out that day.

I'm sorry for the long explanation, but I wanted to make sure you understood the basics of creating and solving a system of equations. I used the elimination method, but I encourage you to check out the substitution method or ask your teacher about it if you haven't learned it in class yet.