Question

A line segment of length 8.4cm is divided into two parts such that 4 times one part is
equal to the three times the other. Find the length of smallest part?​

Answer 1

Answer:

1.05

Step-by-step explanation:

4x = 3y

4x + 3y = 8.4

4x + 4x = 8.4

       8x = 8.4

         x = $\frac{8.4}{8}$

         x = 1.05

4x = 4 x 1.05 = 4.2

3y = 4x

3y = 4.2

 y = $\frac{4.2}{3}$

y = 1.4

3y = 3 x 1.4 = 4.2

1.05 ≤ 1.40

   x  ≤  y

Therefore, the smallest part is x, which is 1.05.

Hope it was helpful! Please mark me as the Brainliest if you think so!