Mark B. answered • 10/01/18

Tutor

New to Wyzant
PhD Candidate in Psychology: Experienced Math, Statistics, Tutor

Good Afternoon, Dyamond,

I am going to first deal with the problem by providing you with expressions to represent how much Kira, John, and Ali have in their respective wallets. Then, we can simplify the equations and solve for x. Once we do that, we can then solve for the other expressions, and then check our work, fair enough?

John - x

Kira - x + 8

Ali - 3(x +8) or 3x + 24 according to the distributive law of math.

Now, the total of the previous three expressions are supposed to equal 112, right?

x + x + 8 + 3x + 24 = 112

5x + 32 = 112

5x = 80

I am going to first deal with the problem by providing you with expressions to represent how much Kira, John, and Ali have in their respective wallets. Then, we can simplify the equations and solve for x. Once we do that, we can then solve for the other expressions, and then check our work, fair enough?

John - x

Kira - x + 8

Ali - 3(x +8) or 3x + 24 according to the distributive law of math.

Now, the total of the previous three expressions are supposed to equal 112, right?

x + x + 8 + 3x + 24 = 112

5x + 32 = 112

5x = 80

**x = 16**

**or $16.00 This is the amount John has in his wallet.**

Kira:

x + 8

**16 + 8 = 24 or $24.00 This is the amount Kira has in her wallet, okay?**

Ali:

**3x or 3 (24) = $72.00 This is the amount Ali has in her wallet.**

Now, to check our work, we want to first add the total in each wallet, right?

John = $16.00

Kira = $24.00

Ali = $72.00

----------

$112.00 Check

Check John's amount, okay? We use the original equation to do this. Therefore:

x + x + 8 + 3x +24 = 112

16 + 16 + 8 + 3(16) + 24 = 112

32 + 8 + 48 + 24 + 112

88 + 24 = 112

112 = 112 Check

You can clearly see Dyamnond, that ALL of our work checks out.

I hope I have provided you with some assistance, and wish you a great day. If you have any feedback or further questions regarding this answer, please feel free to leave that commentary directly beneath this answer in the comment section. If you need further information regarding the process of solving this problem, feel free to contact

88 + 24 = 112

112 = 112 Check

You can clearly see Dyamnond, that ALL of our work checks out.

I hope I have provided you with some assistance, and wish you a great day. If you have any feedback or further questions regarding this answer, please feel free to leave that commentary directly beneath this answer in the comment section. If you need further information regarding the process of solving this problem, feel free to contact

**any**tutor.