Question

- URGENT-
Today I spent half the money I had. The amount remaining in 'pounds and pence' is the same as the original amount in 'pence and pounds'. How much did I have to start with?

SHOW WORKING OUT/LOGIC PLEASE

1 pound = 100 pence

Answer 1

pounds

Answer 2

1 pound = ? pences

Answer 3

the amount remaining in POUNDS and PENCE is the same as the original amount in PENCE and POUNDS

so ATTENTION the first amount of POUNDS is the same with remained amount of PENCE and viceversa the remained amount of POUNDS is the same with first amount of PENCE

- i think this will be the key to solve right this exercise

Answer 4

smith what is your opinion about please ?

Answer 5

I've tried solving it, but it seems pretty tricky.

If you started with x pounds and y pence, then you must have ended with y pounds and x pence. And you spent half of the initial amount. But I haven't really got anywhere with that.

Answer 6

ok. but how you think it now this make sens how i have thought it so in this way ? thank you

Answer 7

Yeah I agree with you.

Answer 8

yes but you know again that 1 pound equal 100 pence

suppose start with

80 pound 10 pence

at the end remained

80 pence 10 pounds

the difference 80 - 10 =70 pounds and 10-80=-70 so will be spent 69 pounds 30 pences - hope i have calculed it right now with this convert

Answer 9

smith - thank you for you agree this way and hope so much that now this is understandably sure right easy - yes ?

Answer 10

ohhhh ok yes you are right

Answer 11

It doesn't appear to be easy @jhonyy9

Answer 12

yes now i see it - but the way need being this i have wrote above - yes ?

Answer 13

so

1. start with x pounds and y pences and will remained x/2 pounds and y/2 pences

x=y/2 =>2x=y halfed (2x+y)/2 =

y=x/2 => 2y=x

smith opinion about ?

Answer 14

I think I got it. I'm not going to show all the working for solving the equation, since I'm gonna leave that part up to you. I'm not here to do boring algebra.

We start with x pounds and y pence, so our starting money value is: x + 0.01y

We finish with y pounds and x pence, so our final money value is y + 0.01x.

You spent half the starting amount, so the final amount is equal to half the starting amount:

\[\large \frac{ 1 }{ 2 }(x+0.01y) = y +0.01x\]

Answer 15

http://www.wolframalpha.com/input/?i=(x%2B0.01y)%2F2+%3D+y%2B0.01x+integer+solutions

Simplest solution is starting with x = 199 pounds and y = 98 pence, total value is 199.98

After spending half that amount, you'd have 98 pounds and 199 pence... total value of 99.99.

Answer 16

yes i think make sens right but than i see it right at the start the pence part is or wan being x/100 - yes ?

Answer 17

@agent0smith very very nice job - work - Congratulation @agent0smith !!!

Answer 18

lol I don't care about medals. I'm not here to do every single step of working. You should be doing (or at least attempting to do) some of the work.

I just took it as a challenge to solve this.

Answer 19

smith - can you please make the Asker understanding the right way how he or she can solving this exercise - please because i think you can make it more easy than i - thank you in advance

Answer 20

@agent0smith - please

Answer 21

1 pound

Answer 22

because the amount you got was some pound

Answer 23

Sorry @jhonyy9 I had to leave earlier.