maths homework

• Jun 24th 2007, 03:51 AM
tooba
maths homework
fatima told her children "if i give u 2 toffees each of you,i am left with 3 toffees.But if i try to give 3 toffees each of you,i face a short of 2 toffees" how many children does fatima have?
• Jun 24th 2007, 05:02 AM
CaptainBlack
Quote:

Originally Posted by tooba
fatima told her children "if i give u 2 toffees each of you,i am left with 3 toffees.But if i try to give 3 toffees each of you,i face a short of 2 toffees" how many children does fatima have?

So to give each child one more toffee would require 5 more toffees
(the three left from the first distribution ad 2 more fatima will have
to borrow to complete the second distribution).

So how many children are there?

RonL
• Jun 24th 2007, 09:15 AM
Soroban
Hello, tooba!

Quote:

Fatima told her children, "If I give you 2 toffees to each of you,'
I am left with 3 toffees. .But if i try to give 3 toffees to each of you,
I am short 2 toffees". .How many children does Fatima have?

Let \$\displaystyle N\$ = number of toffees.
Let \$\displaystyle C\$ = number of children.

If she gives two to each child, there will be three left over.
. . Hence: .\$\displaystyle N \;=\;2C + 3\$ .[1]

If she gives three to each child, she will be two toffees short.
. . Hence: .\$\displaystyle N \;=\;3C - 2\$ .[2]

Equate [1] and [2]: .\$\displaystyle 2C + 3 \;=\;3C - 2\$

. . and solve for \$\displaystyle C\$.