Question

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?

Answer 1

Answer:

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