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?

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- Jun 24th 2007, 03:51 AMtoobamaths 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 AMCaptainBlack
- Jun 24th 2007, 09:15 AMSoroban
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 $\displaystyle C$.