Roses cost $5 each and geraniums cost $3 each. Michelle bought 4 more geraniums than roses and spent a total of $52. How many roses did she buy?
5r + 3(r+4) = 52
5r+3r+12=52
8r+12=52
8r=52-12
8r=40
r=5
so it's 5 roses
Let's assume Michelle bought x roses.
Since geraniums cost $3 each and Michelle bought 4 more geraniums than roses, she bought (x + 4) geraniums.
The total cost of roses is 5x dollars.
The total cost of geraniums is 3(x + 4) dollars.
The total amount spent is $52. According to the information given, we can set up the equation:
5x + 3(x + 4) = 52
Now, we can solve this equation step-by-step:
5x + 3x + 12 = 52
Combining like terms:
8x + 12 = 52
Subtracting 12 from both sides of the equation:
8x = 40
Dividing both sides of the equation by 8:
x = 5
Therefore, Michelle bought 5 roses.
To solve this question, we can set up a system of equations. Let's denote the number of roses Michelle bought as "x" and the number of geraniums as "y".
Given that roses cost $5 each, the cost of x roses would be 5x dollars.
Given that geraniums cost $3 each, the cost of y geraniums would be 3y dollars.
According to the information provided, Michelle bought 4 more geraniums than roses. So, we can say that y = x + 4.
Michelle spent a total of $52, so the cost of the roses and geraniums combined would be 5x + 3y dollars.
Now we can combine these equations to form a system of equations:
y = x + 4 ---(equation 1)
5x + 3y = 52 ---(equation 2)
To solve this system of equations, we can substitute the value of y from equation 1 into equation 2 and solve for x.
Substituting y = x + 4 in equation 2, we have:
5x + 3(x + 4) = 52
Simplifying the equation:
5x + 3x + 12 = 52
8x + 12 = 52
8x = 52 - 12
8x = 40
x = 40/8
x = 5
Therefore, Michelle bought 5 roses.