Question

Can anybody answer this? asap

Question:
A ribbon with a length of p cm is cut into three parts. The length of the first part and the second part are x cm and 2x cm respectively.

(a) Write an expression for the length of the third part.

(b) If x = 10 and the length of the second part is four times the length of the third part, calculate the value of p.​

Answer 1

(a) y = (p - 3x) cm

(b) p = 35 cm

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