Mtah Question?

Question

Carli spent a third of her money, and then spent $4 more. She then spent half of what money remained. It cost her $1 for the bus ride home. She then had $5 HOw much did she start with?

Answer 1

Start from the end amount and work backwards.

$5 + $1 = $6

$6 is the "half of what money remained"

So two $6 are $12

Then add the $4 on to that.

You now have $16.

$16 is the two thirds left after Carli spent her third.

The 'additional' third is half of $16.

$16 + $8 = $24

Therefore her original amount was $24.


Incidentally, the last bit - the calculating with thirds is what you use to calculate currency exchanges between British Pound Sterling and Euros. So if you're ever changing money between Britain and Europe - that's how you can calculate it easily!

Answer 2

Alright, this works best if we go from the end backwards.

Carli has 5 dollars. Before boarding the bus, she has 6 dollars.

Before this, she spent half of her money, which means we can double that 6 dollars to get the 12 dollars she had originally. Before the 4 dollars spent, she had 16. And since 16 is 2/3rd of her original money, she began with $24.

With word problems like these, it's always best to go from end to beginning!

Edit: Sorry! Mixed up the 1/3rd with 2/3rd. This is why it's good to double check your work :-)

Answer 3

15

Answer 4

M is your starting money. Set up an equation exactly like you say:

((M - 1/3 x M) - $4)/2 - $1 = $5

M = 24

Mr. Num Num is not quite right, because the $16 is 2/3 of her starting money, not 1/3.

Answer 5

if you go backwards its easier. From 5, add on one for the bus, times by 2, add 4, then times by 3 to get $48

Answer 6

Let's say what she originally had is X,
and the remider is R.
X- 1/3X-4=2/3x-4=R
Rewrite the formular is as follow;
X-1/3X - 4 -1/2R-1=5
X-1/3X-4-1/2(2/3X-4)-1
X-1/3X-4-1/3X+2-1= 1/3X-3=5
1/3X=8 So, X=24 ,
Answer is $24

Answer 7

one third "X" minus four equals 12 because twice six is 12 so she had 12$ before she spend the four and the one third