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

Algebra ->  Equations -> 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      Log On


   



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) About Me  (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