Question

Three horse share five bales of hay equally. Five cows share eight bales of hay equally.
How much hay does each horse and each cow get?
Which animal gets more, a horse of a cow? How much more hay do they get?

I need to show how I worked it out and as many solutions as possible!

Answer 1

Since, 3 horses share 5 bales of hay equally.

Therefore, Amount of hay shared by 1 horse =  $\frac{5}{3}$

Now, 5 cows share 8 bales of hay equally.

Therefore, Amount of hay shared by 1 cow = $\frac{8}{5}$

Now, we have to determine the animal which gets more, a horse or a cow.

We have to compare  $\frac{5}{3}$ and  $\frac{8}{5}$

Making the same denominators.

$\frac{5}{3} =\frac{5 \times 5}{3 \times 5} = \frac{25}{15}$

$\frac{8}{5} =\frac{8 \times 3}{5 \times 3} = \frac{24}{15}$

Since, $\frac{25}{15} > \frac{24}{15}$

Therefore,  $\frac{5}{3}$ >  $\frac{8}{5}$

So, horse get more hay than a cow.

Amount of hay consumed more = $\frac{5}{3} - \frac{8}{5}$

LCM is 15

= $\frac{25-24}{15}$

= $\frac{1}{15}$

Therefore, horse share  $\frac{1}{15}$ more hay than a cow.