Answer: the number of clips in the box costing $0.30 each is 9
the number of clips in the box costing $0.25 each is 12
Step-by-step explanation:
Let x represent the number of clips costing $0.30 each in the box.
Let y represent the number of clips costing $0.25 each in the box.
Paper clips costing $0.30 each are to be boxed with paper clips costing $0.25 each. The box of clips will cost $5.70. It means that
0.3x + 0.25y = 5.7- - - - - - - - - 1
If four times the number of $0.30 clips is the same as three times the number of $0.25 clips, it means that
4x = 3y
x = 3y/4
Substituting x = 3y/4 into equation 1, it becomes
0.3 × 3y/4 + 0.25y = 5.7
0.225y + 0.25y = 5.7
0.475y = 5.7
y = 5.7/0.475
y = 12
x = 3y/4 = (3 × 12)/4
x = 9
