Question

HELP ME PLEASE!!!!!!!
In the Fall, an even number of children collected in total 234 chestnuts. Half of the children collected 5 chestnuts each and the other half collected 4 chestnuts each.

Later, after they had collected more, they divided the chestnuts equally among themselves and each child got 6 chestnuts. How many chestnuts were collected in total?

Answer 1

Answer:

The total number of chestnuts collected by children is 312

Step-by-step explanation:

given that an even number of children collected 234 chestnuts

half of the children collected 5 chestnuts and half of the children collected 4 chestnuts  

let us assume that total number of children  (even number of children) = 2$x$

(because an even number is always in form of 2$x$  for example 4 = 2(2) , 10= 2(5) ...)

in $2x$ half which is $x$ number of children collected 5 chestnuts each , and remaining $x$ number of children collected 4 chestnuts each

∴ total number of chestnuts collected by $x$ number of children (each 5) = 5$x$

                                                                     $x$ number of children (each 4) = 4$x$

total number of chestnuts collected by 2$x$ = 5$x$ + $4x$  which is equals to 234

                                                                  $5x+ 4x = 234$

                                                                   $9x = 234$

                                                                   $x = \frac{234}{9} = 26$

        Number of children = $2x = 2 (26) = 52$

  at end after dividing the chestnuts equally each child got 6 chestnuts

      ∴ the total number of chestnuts collected by children = 56× 6 =312