Question

terrell arranges x roses at $3.50 each with 10 carnations at $2.25 each. he makes a bouquet of flowers that averages $3.00 per flower. choose an equation to model the situation.
a. 3.50x + 2.25(10)=3(x + 10)
b. 3.50x + 2.25 = 0.75x
c. 3.50x + 3 = 22.5(x + 10)
d. 3.50x + 2.50 = 0.75(x + 10)

Explanation:

Step1: Calculate total cost of roses and carnations

The cost of $x$ roses at $3.50$ each is $3.50x$, and the cost of 10 carnations at $2.25$ each is $2.25\times10 = 22.5$. So the total cost of the flowers is $3.50x+2.25\times10$.

Step2: Calculate total cost based on average price

The total number of flowers is $x + 10$, and the average price per - flower is $3.00$. So the total cost of the bouquet is $3(x + 10)$.

Step3: Set up the equation

Since the total cost calculated in two ways is the same, the equation is $3.50x+2.25\times10=3(x + 10)$.

Answer:

A. $3.50x + 2.25(10)=3(x + 10)$