Solving a System of Equations to Find the Cost of Flower Bulbs

Eduardo and Natalie's Flower Bulb Sales

Eduardo and Natalie are selling flower bulbs for a school fundraiser. Customers can buy bags of windflower bulbs and packages of crocus bulbs. Eduardo sold 10 bags of windflower bulbs and 12 packages of crocus bulbs for a total of $354. Natalie sold 8 bags of windflower bulbs and 4 packages of crocus bulbs for a total of $188. Let's find out the cost of one bag of windflower bulbs and one package of crocus bulbs.

Question:

What is the cost of one bag of windflower bulbs and one package of crocus bulbs?

a. Bag of windflower bulbs: $15, Package of crocus bulbs: $20

b. Bag of windflower bulbs: $14, Package of crocus bulbs: $21

c. Bag of windflower bulbs: $16, Package of crocus bulbs: $19

d. Bag of windflower bulbs: $17, Package of crocus bulbs: $18

Answer:

To solve this problem, set up a system of equations and solve for the cost of one bag of windflower bulbs and one package of crocus bulbs.

Explanation: To solve this problem, we need to set up a system of equations. Let x be the cost of one bag of windflower bulbs and y be the cost of one package of crocus bulbs.

From Eduardo's sales: 10x + 12y = 354

From Natalie's sales: 8x + 4y = 188

Multiplying the second equation by 3, we get 24x + 12y = 564. Subtracting this equation from the first equation, we can eliminate y, leaving us with 14x = 90. Solving for x, we find that x = 90/14 = 6.43.

Substituting this value back into the second equation, we can solve for y: 8(6.43) + 4y = 188. Simplifying, we find that y = 21.43.

Therefore, one bag of windflower bulbs costs $6.43 and one package of crocus bulbs costs $21.43.