Apunch recipe calls for 135 ml of orange juice 550 ml of sparkling water and 85 milliliters of apple juice is a 1.0 l picture big enough to hold the punch if so how much more punch could be added if not how much would spill

230ml more punch can be added

Step-by-step explanation:

Given

Therefore Volume added

= 135+550+85=770ml

As Volume added is less than volume of pitcher (770<1000)

More punch can be added to the pitcher

Volume of more punch that can be added= (1000-770)= 230ml

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