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. Write an equation to model the situation.

Answer 1

3.5x + 22.5 = t
t / (x + 10) = 3
x = 15

Answer 2

`(3.5x+22.5)/(x+10)=3`

Explanation:

Given,

The number of roses = x,

Price of each rose = $ 3.50,

So, the total price of roses = 3.5x dollars,

Now, the number of carnations = 10,

The cost of each carnation = $2.25,

So, the total cost of all carnations = 10 × 2.25 = $ 22.5,

Thus, the total cost of a bouquet of flowers = ( 3.5x + 22.5 ) dollars,

Also, the total numbers of flower = x + 10,

Hence, the average cost flowers =
`\frac{\text{Total cost}}{\text{Total flowers}}`

`=(3.5x+22.5)/(x+10)`

According to the question,

The average cost of flowers = $ 3.00

`\implies (3.5x+22.5)/(x+10)=3`

Which is the required equation.