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  • santhosh distributes chocolates on the occasion of childrens day he gives 6 chocolates to each child and 10 chocolates to adults . if no.of.childrens is represented by x and total

Santhosh distributes chocolates on the occasion of Children's Day. He gives 6 chocolates to each child and 10 chocolates to adults. If no. of. Children are represented by x, and the total distributed chocolates is y. Write in the form of a linear equation in two variables, and if he distributes 46 chocolates in total, find the number of children.

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Let - Number of children = $x$ , number of adults = $a$ , total chocolates distributed = $y$

Given- Each child gets 6 chocolates - total chocolates for children = $6x$

Each adult gets 10 chocolates - total chocolates for adults = $10a$

Equation formed- ${y = 6x + 10a}$

As the total number of chocolates = 46 

${46 = 6x + 10a}$
Now assume $a = 1$
$6x+10(1)=46⇒6x=36⇒x=6$

Therefore, linear equation formed $6x + 10a = 46$ and if $a = 1$, then $x = 6$

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Saniya Khatri

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