a sum of 3000 is to be given in the form of 63 prizes if the prize money is - Maths - Simple Equations

Question

a sum of 3000 is to be given in the form of 63 prizes if the prize
money is either 100 or 25 find the number of prices of each type

Varun Rawat · Accepted Answer

Let the no
 of prizes bearing Rs 100 = xThen, no
 of prizes bearing Rs 25 = 63 - xValue of Rs 100 prizes = Rs 100xValue of Rs 25 prizes = Rs2563-x = Rs 1575-25xAccording to question :     100x + 1575 - 25x = 3000⇒75x = 1425⇒x = 142575 = 19So, no
 of prizes bearing Rs 100 = 19No
 of prizes bearing Rs 25 = 63 - 19 = 44

a sum of 3000 is to be given in the form of 63 prizes. if the prize money is either 100 or 25.find the number of prices of each type