you have a space in your garden for 100 small flowering bulbs.

Question

Crocus bulbs cost $0.45 each, and daffodil bulbs cost $0.85 each. Your budget allows you to spend $55.80 on bulbs. How many crocus bulbs and how many daffodil bulbs can you buy?

Answer 1

X Crocus bulbs.
Y Daffodil bulbs.

Eq1: X + Y = 100

Eq2: 0.45x + 0.85y = $55.80

Multiply Eq1 by (-0.85) and add the Eqs:

-0.85x - 0.85y = -85
+0.45x + 0.85y = 55.80
Sum: -0.40x = -29.2
X = 73

In Eq1, replace X with 73:
73 + Y = 100
Y = 27