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. select the equation that models the situation. select the equation that models 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

The cost of $x$ roses at $3.50$ each is $3.50x$.

Step2: Calculate total cost of carnations

The cost of 10 carnations at $2.25$ each is $2.25\times10 = 22.5$.

Step3: Calculate total number of flowers

The total number of flowers is $x + 10$.

Step4: Calculate total cost of the bouquet based on average

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

Step5: Set up the equation

The sum of the cost of roses and carnations equals the total cost of the bouquet based on the average. So, $3.50x+2.25\times10 = 3(x + 10)$.

Answer:

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