180 are to be divide among three children in the ratio 1/3 :1/4:1/6 find the share of each child​

Question

180 are to be divide among three children in the ratio 1/3 :1/4:1/6 find the share of each child​

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Alaia 2 weeks 2021-10-04T00:48:24+00:00 1 Answer 0

Answers ( )

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    2021-10-04T00:49:42+00:00

    The share of each child is 80, 60 and 40 respectively

    Step-by-step explanation:

    Step 1 :

    Total  quantity to be divided = 180

    Ratio of each child’s share is \frac{1}{3} :\frac{1}{4}: \frac{1}{6}

    Sum of the ratios =  \frac{1}{3} + \frac{1}{4} +  \frac{1}{6} =   \frac{9}{12}

    Step 2 :

    First child’s share is  \frac{1}{3} ÷  \frac{9}{12} × 180 =   \frac{1}{3} × \frac{12}{9} × 180  = 80

    Second child’s share is  \frac{1}{4} ÷  \frac{9}{12} × 180 =   \frac{1}{4} × \frac{12}{9} × 180  = 60

    Third child’s share is \frac{1}{6} ÷  \frac{9}{12} × 180 =  \frac{1}{6} × \frac{12}{9} × 180  = 40

    Step 3  :

    Answer:

    The share of each child is 80, 60 and 40 respectively

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