Question

You are selling flowers for a school fundraiser. When you purchase them, roses cost $3.50 and daisies cost $1.25. You have $300 to purchase flowers.

You sell 150 flowers total.

Answer 1

So, if we sell 150 flowers total, we can purchase 100 daisies and 50 roses for exactly $300.

Explanation:

Let R be the number of roses and D be the number of daisies.

Now we can set the following equations to represent the cost and the total number of flowers,

Cost equation=3.50R + 1.25D

= 300

Number of flowers equation= R + D

= 150

We need to find the number of roses and daisies that we can purchase, as according to question the total number of flowers is 150. To find R, we can put value of the number of flowers in the equation for R in terms of D, and also put this expression for R in the cost equation,

R = 150 - D

3.50R + 1.25D

= 300

3.50(150 - D) + 1.25D

= 300

525 - 3.50D + 1.25D

= 300

-2.25D = -225

D = 100

Therefore, we can buy 100 daisies and the remaining 50 flowers must be roses.

The cost of 100 daisies is 100 × 1.25

= $125

The cost of 50 roses is 50 × 3.50

= $175.

Therefore, the total cost is $125 + $175

= $300.

So, if we sell 150 flowers total, we can purchase 100 daisies and 50 roses for exactly $300.