Sumalee and Jennifer are selling flower bulbs for a school fundraiser. Customers can package of tulip bulbs and bags of daffodil bulbs. Sumalee sold 6 packages of tulip bulbs and 6 bags of daffodil bulbs for a total of 78$. Jennifer sold 6 packages of tulip bulbs and 4 bags of daffodil bulbs for a total of 62$. What is the cost each of one package of tulips bulbs and one bag of daffodil bulbs?

tulips bulbs cost $5; and daffodil bulbs costs $8

Step-by-step explanation:

Variables can be used to create equations and set up a system of equations. I used the following variables:

Tulip bulbs = t

Daffodil bulbs = d

We need create two equations using the total sales, and amount of each item sold. Using the variables I chose I set up an equation representing the sales of each girl.

Sumalee sold 6 tulip bulbs and 6 daffodil bulbs for $78.

6t + 6d = 78

Jennifer sold 6 tulip bulbs and 4 daffodil bulbs for $62.

6t + 4d = 62

Using the equations we can set up a system of equations. To solve the system you can use either the substitution method or the elimination method.

(substitution)

Isolate one of the variables in the first equation.

6t + 6d-6t = 78-6t

6d / 6 = (-6t+78) / 6

d = - t+13

Substitute d = - t+13 into equation 2 replacing variable d. Using the order of operations solve for t.

6t + 4 (-t+13) = 62

6t - 4t+52 = 62

2t = 10

t = 5

Substituting t=5 for the value of t in equation 1, and solve of d.

6 (5) + 6d = 78

30 + 6d = 78

6d=48

d=8

This means one package of tulips bulbs cost $5, and one bag of daffodil bulbs costs $8