In a game of 90 points,A can give B 15 points | vedclass

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(B) In a game of $90$ points,when $A$ scores $90$,$B$ scores $(90 - 15) = 75$ and $C$ scores $(90 - 30) = 60$.Thus,the ratio of their scoring abilitie

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$20$

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(B) In a game of $90$ points,when $A$ scores $90$,$B$ scores $(90 - 15) = 75$ and $C$ scores $(90 - 30) = 60$.Thus,the ratio of their scoring abilities is $A : B : C = 90 : 75 : 60$.Simplifying the ratio $B : C$,we get $B : C = 75 : 60 = 5 : 4$.This means when $B$ scores $5$ points,$C$ scores $4$ points.To find how many points $B$ can give $C$ in a game of $100$ points,we scale the ratio so that $B$ scores $100$ points:$B : C = 5 : 4 = (5 	imes 20) : (4 	imes 20) = 100 : 80$.In a game of $100$ points,$B$ scores $100$ while $C$ scores $80$.Therefore,$B$ can give $C$ $(100 - 80) = 20$ points.

In a game of $90$ points,$A$ can give $B$ $15$ points and $C$ $30$ points. How many points can $B$ give $C$ in a game of $100$ points?

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