Menu Close

A-father-has-320-to-go-a-sporting-event-with-his-children-If-he-takes-tickets-of-50-he-lacks-money-if-he-takes-tickets-of-40-he-has-money-left-over-Find-the-number-of-children-




Question Number 182705 by HeferH last updated on 13/Dec/22
A father has $320 to go a sporting event with   his children. If he takes tickets of $50 he   lacks money, if he takes tickets of $40 he   has money left over. Find the number of    children.
$${A}\:{father}\:{has}\:\$\mathrm{320}\:{to}\:{go}\:{a}\:{sporting}\:{event}\:{with} \\ $$$$\:{his}\:{children}.\:{If}\:{he}\:{takes}\:{tickets}\:{of}\:\$\mathrm{50}\:{he} \\ $$$$\:{lacks}\:{money},\:{if}\:{he}\:{takes}\:{tickets}\:{of}\:\$\mathrm{40}\:{he} \\ $$$$\:{has}\:{money}\:{left}\:{over}.\:{Find}\:{the}\:{number}\:{of}\: \\ $$$$\:{children}. \\ $$
Answered by Rasheed.Sindhi last updated on 13/Dec/22
Let number of persons=x  50x>320 ∧ 40x<320  x={7,8,...} ∩ {1,2,...7}  x=7  The father has 6 children.
$${Let}\:{number}\:{of}\:{persons}={x} \\ $$$$\mathrm{50}{x}>\mathrm{320}\:\wedge\:\mathrm{40}{x}<\mathrm{320} \\ $$$${x}=\left\{\mathrm{7},\mathrm{8},…\right\}\:\cap\:\left\{\mathrm{1},\mathrm{2},…\mathrm{7}\right\} \\ $$$${x}=\mathrm{7} \\ $$$${The}\:{father}\:{has}\:\mathrm{6}\:{children}. \\ $$

Leave a Reply

Your email address will not be published. Required fields are marked *