Question

Type the correct answer in each box. If necessary use / for fraction bars.

Answer 1

Answer: Bill has 12 cards

Alan and Calvin both have 19 cards each.'

Explanation:

Let x= Number of cards Bill has.

Then Alan has cards =
`2(1)/(2)x-11=(5)/(2)x-11`

Calvin has cards =
`1(1)/(2)x+1=(3)/(2)x+1`

Since Alan and Calvin has equal number of cards.

Then,
`(5)/(2)x-11=(3)/(2)x+1`

`\Rightarrow\ (5)/(2)x-(3)/(2)x=1+11\\\\\Rightarrow\ (5-3)/(2)x=12\\\\\Rightarrow\ (2)/(2)x=12\\\\\Rightarrow\ x=12`

So, Bill has 12 cards

Then, Alan has cards =
`(5)/(2)(12)-11=30-11=19`

Calvin has cards =
`(3)/(2)(12)+1=18+1=19`

So, Alan and Calvin both have 19 cards each.