Question

Richard Henry and Gavin share some some sweets in the ratio 5:4:3 Richard gets 70 sweets How many sweets are there altogether

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

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$\green{\underline \bold{Given :}}$

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• Sweet are shared among Richard , Henry and Gavin

• Sweets are shared in the ratio 5:4:3

• Richard got 70 sweets.

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$\red{\underline \bold{To \: Find:}}$

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• Total number of sweets.

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$\large{\orange{\underline{\tt{Solution :-}}}}$

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$\purple{\underline \bold{According \: to \: the \ question :}}$

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Sweets are given in the ratio 5:4:3

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$\underline{\bold{\texttt{Number of Sweets each got :}}}$

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• Richard = 5x

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• Henry = 4x

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• Gavin = 3x

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Given that Richard got 70 sweets.

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Hence ,

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$\purple\longrightarrow$ $\sf 5x = 70$

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$\sf \longmapsto x = \dfrac { 70 } { 5 }$

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$\bf \dashrightarrow x = 14$

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$\red{\bold{Total \: number \: of \: sweets :}}$

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$\purple\longrightarrow$ $\bf 5x + 4x + 3x$ ------(1)

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$\underline{\bold{\texttt{Putting x = 14 in (1)}}}$

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$\sf \longmapsto Total \: sweets \: = \: 5(14) + 4(14) + 3(14)$

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$\sf \longmapsto Total \: sweets \: = \: 70 + 56 + 42$

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$\bf \dashrightarrow Total \: sweets \: = \: 168$

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$\rule{200}5$