Answer: the sale price of one hammer is $6.8
the sale price of one nail is $0.16
Step-by-step explanation:
Let x represent the sale price of one hammer.
Let y represent the sale price of one nail.
His first customer bought 3 hammers and 16 nails for $22.96. It means that
3x + 16y = 22.96- - - - - - - - -1
His last customer bought 2 hammers and 20 nails for $16.80. It means that
2x + 20y = 16.8- - - - - - - - - 2
Multiplying equation 1 by 2 and equation 2 by 3, it becomes
6x + 32y = 45.92
6x + 60y = 50.4
Subtracting, it becomes
- 28y = - 4.48
y = - 4.48/- 28
y = 0.16
Substituting y = 0.16 into equation 2, it becomes
2x + 20 × 0.16 = 16.8
2x + 3.2 = 16.8
2x = 16.8 - 3.2
2x = 13.6
x = 13.6/2
x = 6.8
