A shopkeeper sells mangoes in two types of boxes, one
large. A large box contains as many as 8 small boxes plus 4 loose mangoes.
Set up an equation which gives the number of mangoes in each small box. The number of mangoes in a large box is given to be 100.
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Let mangoes in small box be M and in larger box be N.
So, number of mangoes in 8 smaller box = 8 × M = 8M
» Larger box contains 4 more mangoes than the number of mangoes contained in the 8 boxes of the smaller type.
» And larger box contains 100 mangoes.
means N = 100 ____ (eq 1)
A.T.Q.
\implies N = 8M + 4
\implies 100 = 8M + 4 [From (eq 1)
\implies 100 - 4 = 8M
\implies 8M = 96
\implies M = 12
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