Answer:one length is 24.7 cm
The other length is 20.7
Explanation:
Let x represent the length of one piece of the ribbon.
Let y represent the length of the other piece of the ribbon.
The length of the ribbon that the girl has is 48.5 cm. This means that
x + y = 45.5
She has it cut into 2 pieces. One of the pieces is 4 times longer than the other. This means that
x = y + 4
Substituting x = y + 4 into x + y = 45.5, it becomes
y + 4 + y = 45.5
2y + 4 = 45.5
2y = 45.4 - 4 = 41.4
y = 41.4/2 = 20.7 cm
x = y + 4 = 20.7 + 4 = 24.7 cm