A Bouquet of lillies and tulips has 12 flowers. Lillies cost $3 each, and tulips cost $2 each. The b

A Bouquet of lillies and tulips has 12 flowers. Lillies cost $3 each, and tulips cost $2 each. The bouquet costs $32. Write and solve a system of linear equations to find the number of lillies and tulips in the bouquet.

Let l be the number of lillies and t be the number of tulips. We're given 2 equations:

1. l + t = 12
2. 3l + 2t = 32

With this system of equations, we can solve it 3 ways.

• Substitution Method
• Elimination Method
• Cramers Rule

No matter which method we choose, we get:

• l = 8
• t = 4

Now Check Your Work For Equation 1
l + t = 12
8 + 4 ? 12
12 = 12

Now Check Your Work For Equation 2
3l + 2t = 32
3(8) + 2(4) ? 32
24 + 8 ? 32
32 = 32