Question

URGENT

Guy started with the day with some money in his pocket. Then when he took some money out of his bank account, he had $2 more than twice the amount he started with. He then received a birthday present which he doubled the amount of money he had. Guy ended the day with $88. How much money did he start with? Please show all work.

Answer 1

Hi wangkan07
Can I help you with this one...

Answer 2

yes

Answer 3

oke ;-)

Lets cal the moneey he has in the morning = X

Answer 4

let's cal the amount he gets from the bank = Y

Answer 5

He then has X + Y in his pocket

Answer 6

What do they tell you about how much that is?

Answer 7

the total mount in the bank?

Answer 8

no... the X + Y that he then has

Answer 9

they tell you is 2 dollar more then twice the amount he started with

Answer 10

So
X + Y = ....
can you fill that in?

Answer 11

um

Answer 12

could you give me a hint?

Answer 13

The amount he starts with is X
When he adds the amound from the baqnk (which is Y) he has X + Y
They say that that is $2 more than twice the amount he started with

twice the amount he started with is 2X
$2 more than that is 2X + 2

so

X+ Y = 2X + 2

Yes?

Answer 14

\[\left[\begin{array}{l}X+Y=2X+2 \\2(X+Y)=88 \end{array}\right]\]
\[\left[\begin{array}{l}Y=X+2 \\X+Y=44 \end{array}\right]\]
\[X+X+2=44\]
\[2X=42\]
\[X=21\]
\[Y=X+2\]
\[Y=21+2\]
\[Y=23\]