Sneha gave candy to a group of children. Ifshe gave 5 candies to each

1.	Sneha gave candy to a group of children. Ifshe gave 5 candies to each child, sheneeded another 2 candies. If she gave eachchild 4 candie, there were 3 candies left.How many children were there? How manycandies did Sneha have? Please explain this question.
Answer» $\large\underline\purple{\bold{Solution :- }}$ ☆ Let number of candies be x. ☆Let number of children be y. ☆ According to statement, If she GAVE 5 candies to each child, she needed another 2 candies. $\longrightarrow \: \boxed{ \red{\tt \: x \: = 5y - 2}} - - (i)$ ☆ According to next CONDITION, If she gave each child 4 candies, there were 3 candies left. $\longrightarrow \: \boxed{ \pink { \tt \: x = 4y + 3}} - - (ii)$ ☆ On equating (i) and (ii), we getc $\longrightarrow \: \tt \: 5y - 2 = 4y + 3 \\ \\ \longrightarrow \: \tt \: 5y - 4y = 3 + 2$ $\tt\implies \: \boxed{ \purple{ \tt \: y \: = \: 5}}$ ☆ On substituting value of y in equation (i), we GET $\longrightarrow \: \tt \: x \: = 5 \times 5 - 2$ $\tt\implies \: \boxed{ \pink{ \tt \: x \: = \: 23}}$ $\boxed{\begin{gathered}\begin{gathered}\bf Hence \: - \: \begin{cases} &\sf{number \: of \: children \: = \: 5} \\ &\sf{number \: of \: candies \: = \: 23} \end{cases}\end{gathered}\end{gathered}}$

Sneha gave candy to a group of children. Ifshe gave 5 candies to each child, sheneeded another 2 candies. If she gave eachchild 4 candie, there were 3 candies left.How many children were there? How manycandies did Sneha have? Please explain this question.

Answer»

$\large\underline\purple{\bold{Solution :- }}$

☆ Let number of candies be x.

☆Let number of children be y.

☆ According to statement, If she GAVE 5 candies to each child, she needed another 2 candies.

$\longrightarrow \: \boxed{ \red{\tt \: x \: = 5y - 2}} - - (i)$

☆ According to next CONDITION, If she gave each

child 4 candies, there were 3 candies left.

$\longrightarrow \: \boxed{ \pink { \tt \: x = 4y + 3}} - - (ii)$

☆ On equating (i) and (ii), we getc

$\longrightarrow \: \tt \: 5y - 2 = 4y + 3 \\ \\ \longrightarrow \: \tt \: 5y - 4y = 3 + 2$

$\tt\implies \: \boxed{ \purple{ \tt \: y \: = \: 5}}$

☆ On substituting value of y in equation (i), we GET

$\longrightarrow \: \tt \: x \: = 5 \times 5 - 2$

$\tt\implies \: \boxed{ \pink{ \tt \: x \: = \: 23}}$

$\boxed{\begin{gathered}\begin{gathered}\bf Hence \: - \: \begin{cases} &\sf{number \: of \: children \: = \: 5} \\ &\sf{number \: of \: candies \: = \: 23} \end{cases}\end{gathered}\end{gathered}}$

Sneha gave candy to a group of children. Ifshe gave 5 candies to each child, sheneeded another 2 candies. If she gave eachchild 4 candie, there were 3 candies left.How many children were there? How manycandies did Sneha have? Please explain this question.

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Sneha gave candy to a group of children. Ifshe gave 5 candies to each child, sheneeded another 2 candies. If she gave eachchild 4 candie, there were 3 candies left.How many children were there? How manycandies did Sneha have? Please explain this question.​

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Sneha gave candy to a group of children. Ifshe gave 5 candies to each child, sheneeded another 2 candies. If she gave eachchild 4 candie, there were 3 candies left.How many children were there? How manycandies did Sneha have? Please explain this question.