Answer:
(a) y = (p - 3x) cm
(b) p = 35 cm
Step-by-step explanation:
Total length of the ribbon = p cm
The length of the first part = x cm
The length of the second part = 2x cm
Let the length of the third part be represented by y.
(a) Thus,
x + 2x + y = p
3x + y = p
y = p - 3x
An expression for the length of the third part is (p - 3x) cm
(b) If x = 10 cm, then;
length of first part = 10 cm
length of the second part = 2x
= 2(10)
= 20 cm
But,
length of the second part = 4y
i.e 20 = 4y
y = 5 cm
The value of p = 10 + 20 + 5
= 35 cm
p = 35 cm