50 jars sit on a shelf, of which 12 are red and not round; and 30 are

Question

50 jars sit on a shelf, of which 12 are red and not round; and 30 are round and not red. How many jars sit on the shelf that are both red and round ?

(1) There are only 5 jars on the shelf which are not red and not round.

(2) Of the round jars, the number of non red is 10 times the number of the red jars.

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Abdelaali91 · Answer

red  
 not red 
 total 
 
  round  
 x 
 30 
 30+x 
 
  not round 
 12 
 y 
 12+y 
 
  total

50

we're looking for x such that x=8-y
1/ y=5, so x=3 sufficient
2/30=10x so x=3 sufficient

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