A flower garden has 3 times as many red roses than pink roses. Twice the number of red roses is the same as four times the number of pink roses increased by 10, how many red roses are there/
I know that X = red roses and Y = pink rose
1. x=3y and 2x=4y+10
How do i solve it?
nvm i found it ez
well, since x = 3y, use that to get
2(3y) = 4y+10
6y = 4y+10
2y = 10
y=5
so, x=3y=15
To solve this problem, you can use the system of equations that you've already set up:
1. x = 3y
2. 2x = 4y + 10
Start by substituting the value of x from the first equation into the second equation:
2(3y) = 4y + 10
Simplify the equation:
6y = 4y + 10
Now, let's isolate the variable y by subtracting 4y from both sides:
6y - 4y = 10
Combine like terms:
2y = 10
Next, divide both sides of the equation by 2 to solve for y:
2y/2 = 10/2
Simplify:
y = 5
Now that we know the value of y, we can substitute it back into the first equation to find x:
x = 3(5)
Solve:
x = 15
Therefore, there are 15 red roses in the flower garden.