Question

a boy wishes to divide the board in 28cm long into 3 pieces in the ratio of 1:2:4 find the length of each

Answer 1

A boy wishes to divide the board in 28cm long into 3 pieces in the ratio of 1:2:4 find the length of each.

**Solution:**

Assume that the smallest part is $x$ cm, if we have ratio 1:2:4 the length of other parts will be $2x$, and $4x$.

Total length will be $(x + 2x + 4x)$ and it equals $28~\mathrm{cm}$

$$(x + 2x + 4x) = 28$$ $$7x = 28$$ $$x = 4$$

The length of other parts will be $8~\mathrm{cm}$ and $16~\mathrm{cm}$

**Answer:** $4~\mathrm{cm}, 8~\mathrm{cm}, 16~\mathrm{cm}$