Question

Yes it's surprisingly for highschool can someone help I just can't figure it out ​

Answer 1

22

Explanation:

For simplicity, let

x = teary smiley

y = tongue smiley

z = plain smiley

So now our system of equations is

`x + x + x = 12\:\:\:\:\:\:(1)`

`y + z + x = 18\:\:\:\:\:\:\:(2)`

`z + z + y = 22\:\:\:\:\:\:\:(3)`

`z + y + 2x= ??\:\:\:\:\:\:(4)`

From Eqn(1), we plainly see that

`3x = 12 \Rightarrow x = 4`

Now subtract Eqn(2) from Eqn(3) to get

`(2z + y) - (y + z + x) = 22 - 18`

`\Rightarrow z - x = 4`

But we know that
`x = 4`, which then gives us
`z = 8.`

Using the values of
`x` and
`z` in Eqn(2), we find that
`y = 6.` Now that we the values of all the variables, use them in Eqn(3) and we'll get

`(8) + (6) + 2(4) = 22`