Alisha designs a new tea blend by mixing Sweet Rose Tulsi tea with Orange blossom green tea. Sweet rose tea sells for $4.98 an ounce and Orange Blossom sells for $1.98 an ounce. If she wants to blend 16 ounces of the tea blend to sell for $4.23 per ounce, how many ounces of each tea should she use?

She should use 12 ounces of Sweet Rose Tulsi tea and 4 ounces of Orange blossom green tea.

Step-by-step explanation:

Let x represent the number of ounces of Sweet Rose Tulsi tea that she should use.

Let y represent the number of ounces of Orange blossom green tea that she should use.

She wants to blend 16 ounces of the tea blend. It means that

x + y = 16

x = 16 - y

Sweet rose tea sells for $4.98 an ounce and Orange Blossom sells for $1.98 an ounce. If the the tea blend is to sell for $4.23 per ounce, then the 16 ounces would be sold for 16 × 4.23 = 67.68

it means that

4.98x + 1.98y = 67.68- - - - - - - - - - -1

Substituting x = 16 - y into equation 1, it becomes

4.98(16 - y) + 1.98y = 67.68

79.68 - 4.98y + 1.98y = 67.68

- 4.98y + 1.98y = 67.68 - 79.68

- 3y = - 12

y = - 12/-3

y = 4

x = 16 - y = 16 - 4

x = 12

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.