Answer:
x = number of cards that cost $2.50 each = 5
y = number of cards that cost $3.25 each = 1
Step-by-step explanation:
The equations are:
x + y = 6 (1)
2.5x + 3.25y = 15.75 (2)
From (1)
x = 6 - y
Substitute x = 6 - y into (2)
2.5x + 3.25y = 15.75 (2)
2.5(6 - y) + 3.25y = 15.75
15 - 2.5y + 3.25y = 15.75
- 2.5y + 3.25y = 15.75 - 15
0.75y = 0.75
y = 0.75/075
y = 1
Substitute y = 1 into (1)
x + y = 6
x + 1 = 6
x = 6 - 1
x = 5
Therefore,
x = number of cards that cost $2.50 each = 5
y = number of cards that cost $3.25 each = 1
