Question

A shop keeper sells mangoes in two types of boxes, one small and one big. A big box contains asmany as 8 small boxes plus 4 loose mangoes. Set an equation which gives the number of mangoes ineach small box. The number of mangoes in a big box is given to be 100.Make an expression

Answer 1

$\bold{Correct\: Question:}$

A shopkeeper has two types of boxes, one is smaller and one is big. Each box of the larger type contains 4 more mangoes than the number of mangoes contained in the 8 boxes of the smaller type. Set an equation which gives the number of mangoes in each small box. Each larger box contains 100 mangoes. Find number of mangoes in the smaller box.

Solution:

• 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

______________________________

$\textbf{Number of mangoes in small box}$

$\textbf{M = 12}$

____________ [ANSWER]

______________________________

Answer 2

Answer:

means N = 100 ____ (eq 1)

A.T.Q.

⟹ N = 8M + 4

⟹ 100 = 8M + 4 [From (eq 1)

⟹ 100 - 4 = 8M

⟹ 8M = 96

⟹ M = 12