Question

Cole us 11 1/2 years old. Uncle Frank is 4 times as old as Cole. Write an expression to show how you could calculate Uncle Frank's age in 6 years.

Answer 1

tl;dr: a = b(4) + 6

Explanation:

To start, we should first find Uncle Frank's age currently. We can do this by multiplying 4 times 11
`(1)/(2)`.

`4` ·
`11 (1)/(2)`
`=`
`46`

So now that we know that Uncle Frank is 46 years old, all we have to do is add 6 more years, and it will be how old he will be in 6 years.

`46` +
`6` =
`52`

Uncle Jack will be 52 years old in 6 years.

Now, we write the expression. Let a represent Uncle Jack's age while b represents Cole's age.

a = b(4) + 6

Hope this was helpful! Have a wonderful day. (。・ω・。)

Answer 2

11.5 = y
y x 4 = uncle franks age
y x 4 = 4y
franks age in six years = 4y + 6