SOLUTION: I need an algebraic formula for this puzzle. �A teacher distributes �2 among 20 children, giving 5p each to some and 25p each to the rest. How many children received 25p each�. I

SOLUTION: I need an algebraic formula for this puzzle. �A teacher distributes �2 among 20 children, giving 5p each to some and 25p each to the rest. How many children received 25p each�. I

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Question 1119273: I need an algebraic formula for this puzzle.
�A teacher distributes �2 among 20 children, giving 5p each to some and 25p each to the rest. How many children received 25p each�. I worked the answer out logically (5 kids paid 25p and 15 kids paid 5p each) but I can not create a formula or equation for this one to solve it algebraicly.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Presuming your story occurred sometime after 1971 such that �1 = 100p, proceed as follows:

Let

represent the number of children who received 25p. Then the number of children who received 5p must be

. Then, the total amount given to

children must be

pence, and the total amount given to the

children must be

pence. These two totals must sum to �2 = 200p. Therefore:

Solve for

John

My calculator said it, I believe it, that settles it

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