Question

A flower shop sells roses individually for $2.00 and by the dozen for $20.00. One day the

flower shop sells 147 roses and makes $258.00.
Which system of equations can be used to find the number of individual and dozens of roses
that are sold?
A x + 2y = 147
B
12x + 20y = 258
x + 12y = 258
12x + 20y = 147
Cx+12y = 147
2x + 20y = 258
Dx+12y = 258
2x + 20y = 147

Answer 1

The correct system of equations that can be used to find the number of individual and dozens of roses that are sold is B) 12x + 20y = 258 and x + 12y = 147.

Step-by-step explanation:

The correct system of equations that can be used to find the number of individual and dozens of roses that are sold is B) 12x + 20y = 258 and x + 12y = 147.

We can set up a system of equations based on the given information.

Let x be the number of dozens of roses sold and y be the number of individual roses sold.

From the given information, we know that the total number of roses sold is 147, so we have the equation x + y = 147.

We also know that the total revenue from the rose sales is $258.00.

The revenue from selling one dozen roses is $20.00, which means the revenue from selling x dozens of roses is 20x.

The revenue from selling one individual rose is $2.00, which means the revenue from selling y individual roses is 2y.

Therefore, we have the equation 12x + 2y = 258.

So the correct system of equations is 12x + 20y = 258 and x + y = 147.