The total capacity of a water bottle and a mug is 7/8 litre. The capacity of the mug is 1/4 litre. How much greater is the capacity of the water bottle than the mug.

The capacity of the water bottle is 2.5 times greater than the mug.

Step-by-step explanation:

We know that the capacity of a water bottle and a mug is 7/8 litre:

But we also now that the mug's capacity is 1/4 litre, so the equation above becomes:

Now we want to know how much greater the capacity of the bottle than the mug is. To do this we need to know first what's the capacity of the bottle.

So, we would have:

Therefore the bottle has a capacity of 5/8 liter while the mug has a 2/8 liter one.

To know how much greater is the capacity of the water bottle than the mug we need to divide these two quantities, so we have:

÷×

Therefore the capacity of the water bottle is 2.5 times greater than the mug.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4