Question

in a cinema hall 300 tickets were sold the total sale of ticket was rs 1250 if tickets were of two dinomenation of rs 2.5 and 5.00 how many of each Dinomenation were sold?

Answer 1

no. of tickets = 300

total collection= Rs1250

let that Rs 2.5 ticket be x tickets

let the Rs 5 ticket be y tickets

x+y=300

2.5x+5y=1250

solving the first equation

y=300-x

so,

2.5x+5(300-x)=1250

2.5x+1500-5x=1250

2.5x=250

x=100

y=300-x

y=300-100

y=200

thus 100 tickets of rs 2.5 were sold and 200 tickets of rs 5 were sold...!!!