Question

You sold two types of plant seeds for your band fundraiser. Roses sold for $8 a package, and tulips sold for $6 a package. You collected a total of $92 for the 14 packages that you sold. Write an equation to model the total amount of packages you sold and another equation to model how much money you raised. Then solve the system of equations.

Answer 1

Let total number of roses sold be x and total number of tulips sold be y
Roses = $8
Tulips = $6
Total collected = $92

 x+ y = 14 ————— (1)
8x + 6y = 92 ————(2)

From (1):
x + y = 14
x = 14 - y ———— sub into (2)

8(14 - y) + 6y = 92
112 - 8y + 6y = 92
2y = 20
y = 10 ———- sub into (1)
x+10 = 14
x = 14 - 10
x = 4

Ans: Roses = 4, tulips = 10