Question

Last Saturday,the MoviePlex theater sold 1,456 tickets.The theater sold 6 times as many regular price tickets as it sold discount tickets.Earl says that the expression 1,456 divided by 6 gives the correct number of discounted tickets.Is Earl correct?show your work

Answer 1

Earl is incorrect

let x be the number of discount tickets sold

then the number of regular tickets sold is 6x

the total tickets sold is 1456, thus

x + 6x = 1456

7x = 1456 ( divide both sides by 7 )

x = 208

number of discount tickets sold = 208

`(1456)/(6)` ≠ 208

but
`(1456)/(7)` = 208

Earl is incorrect , dividing by 7 gives the amount sold