Question

A piece of wood is cut into 3 pieces A, B and C, in the ratio 2 : 3:5. If C

is longer than B by 8 cm, find the length of the stick.

Answer 1

Answer: 20 cm

Explanation:

create an equation.

2x : 3x : 5x

We are also told C is longer than B by 8 cm. So,

A : x : x+8

If 5x = x+8, solve for this: 4x = 8 so x =2.

Now, we can plug back in the original values.

2(2) + 3(2) + 5(2) = 20.

the stick is 20 centimeters long.

Answer 2

18 cm

Explanation:

Let's assume that the length of the stick is x cm.

Then, the lengths of pieces A, B and C would be 2x/10 cm, 3x/10 cm, and 5x/10 cm respectively.

Since C is longer than B by 8 cm, the length of C is 3x/10 + 8 cm, and the length of B is 3x/10 cm.

Therefore, the total length of the stick would be:

x = 2x/10 + 3x/10 + (3x/10 + 8)

x = 10x/10 + 8

x = 10 + 8

x = 18 cm

So, the length of the stick is 18 cm.