a pile of sand has a weight of 90 kg the sand is put into a small bag a medium bag and a large bag in the ratio 2:3:7 work out the wig

Question

a pile of sand has a weight of 90 kg the sand is put into a small bag a medium bag and a large bag in the ratio 2:3:7
work out the wight of sand in each bag

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King 4 years 2021-08-07T20:36:01+00:00 1 Answers 1295 views 1

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  1. Philomena
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    2021-08-07T20:37:31+00:00
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    Answer:

    15 kg, 22.5 kg, 52.5 kg

    Step-by-step explanation:

    Let the common multiplier of the given ratios be x. Therefore, weights of each bag would be 2x, 3x and 7x

    According to the given information:

    2x + 3x + 7x = 90 \\ 12x = 90 \\ x = \frac{90}{12} \\ x = 7.5 \: \\ \implies \\ 2x = 2 \times 7.5 = 15 \: kg \\ 3x = 3 \times 7.5 = 22.5 \: kg \\ 7x = 7 \times 7.5 = 52.5 \: kg

    Hence the weight of sand in bag would be 15 kg, 22.5 kg and 52.5 kg

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