Question

Divide 104 pencils among three children in the ratio 1 by half : 1 by 3 : 1 by 4 ​

Answer 1

Step-by-step explanation:

Total pencils = 104

Divide among children in ratio = 1/2: 1/3: 1/4

sum of ratios = 1/2 + 1/3 + 1/4 = $\frac{6 + 4 + 3}{12}$ = 13/12

First child got = 1/2 ÷ 13/12 * 104 pencils

                        = $\frac{1}{2} /\frac{13}{12} * 104$ pencils  = $\frac{1}{2} *\frac{12}{13} * 104$ pencils

                        = 6 × 8

                        = 48 pencils.

2nd child got =  1/3 ÷ 13/12 * 104 pencils

                       =  $\frac{1}{3} *\frac{12}{13}*104$ pencils

                       = 4 × 8 = 32 pencils

3rd child got = 1/4 ÷ 13/12 of 104 pencils

                      = $\frac{1}{4} *\frac{12}{13} *104$ pencils

                      = 3 * 8 pencils = 24 pencils

ANSWER = 48 pencils, 32 pencils, 24 pencils

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Let us verify -

48 + 32 + 24 = 104 pencils

104 pencils = 104 pencils

LHS = RHS

Hence, our answer is correct...............

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