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

Question

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

Rashi Lokwani · Accepted Answer

Dear Student,

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 = Rs[25(63−x)] = Rs (1575 − 25x)  According to question :100x + 1575 − 25x = 3000⇒75x = 1425⇒x = 142575 = 19So, no
 of prizes bearing Rs 100 =x =   19No
 of prizes bearing Rs 25 = 63 − x = 63 - 19 = 44

Regards

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