Question

A) Kelly is a partner in an Internet-based seed and garden supply business.
The company offers a blend of exotic wildflower seeds for $60 a pound and
common wildflower seeds for $45 a pound. Kelly is creating a medium - price
product by mixing together the seeds and selling the mixture for $54 a pound.
How many pounds of the exocitic wildflowers and common wildflowers will she
need to create a mixture of 42 pounds?

Answer 1

Using the concept of simultaneous equation, the number of exotic wildflower and common wildflower are 25.2 and 16.8 pounds respectively.

Let :

• a = exotic wildflower
• b = common wildflower

Total sum of mixture can be expressed thus :

• a + b = 42 - - - - - (1)

Total cost of mixture :

• Cost per mixture = $54
• Total cost of mixture = $54 × 42 = 2268

Total cost of mixture can be represented by the equation :

• 60a + 45b = 2268 - - - - - (2)

From equation (1):

a + b = 42 __________(1)

a = 42 - b __________ (3)

Input(3) into equation (2)

60(42 - b) + 45b = 2268

2520 - 60b + 45b = 2268

-15b = 2268 - 2520

-15b = - 252

b = 16.8

From (3)

a = 42 - 16.8

a = 25.2

Therefore, the pounds of exotic wildflower and common wild flower required is 25.2 and 16.8 pounds respectively.

Learn more :https://brainly.com/question/15165519