Question

A group of ten UIC professors each contributed an equal amount to the purchase of a State of Illinois Lottery ticket. Two of them had to withdraw because of lack of funds, causing the share of the remaining professors to increase by $2.40. How much is the cost of the ticket (in dollars)

Answer 1

Total cost of Ticket = $96

Step-by-step explanation:

Provided information,

Total number of people buying lottery ticket in a joint contribution = 10

Two people withdraw being short of funds, therefore people buying such ticket = 8

Revised share increase by $2.40 each.

Total increase = $2.40
`*` 8 = $19.20

Just because 2 people withdraw, thus earlier contribution per person = $19.20/2 = $9.60

Therefore, total cost of ticket = $9.60
`*` 10 = $96