Question 1169761
Some children share an amount of money equally and each of them gets $20.
 If the number of children sharing the same amount of money is reduced by 5, each child will get $40.
 Find the amount of money.
:
let a = amt of money
let c = no. of children
:
Two equations
{{{a/c}}} = 20
a = 20c
and
{{{a/((c-5))}}} = 40
a = 40(c-5)
a = 40c - 200
:
a=a, therefore
40c - 200 = 20c
40c - 20c = 200
c = 200/20
c = 10 children
:
Find the amt
{{[a/10}} = 20
a = 10*20
a = $200 is the amt
:
Check
{{{200/5}}} = 40