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Mathematics 11 Online
OpenStudy (anonymous):

its an an attachment i will give a medal

OpenStudy (anonymous):

OpenStudy (tkhunny):

Please NAME the amount of money originally in the pocket. Seriously, just give it a name!

OpenStudy (tkhunny):

The second problem needs to be trivial. Are you struggling with it?

OpenStudy (anonymous):

i need help on both of them

OpenStudy (ybarrap):

you have X and you spend 1/4 x and 1/5 x on something else. When you start with X and subtract those other two things, you are left with 11, what is X?

OpenStudy (ybarrap):

Problem 2 is just a subtraction problem. No symbols needed.

OpenStudy (tkhunny):

|dw:1375073765030:dw|

OpenStudy (anonymous):

|dw:1375073564328:dw|

OpenStudy (tkhunny):

Done!

OpenStudy (anonymous):

ok how about the 1st one

OpenStudy (tkhunny):

Did you NAME the amount of money in the pocket? ybarrup called it "X". Does that sound like a good name?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

is it A

OpenStudy (tkhunny):

Okay, if he has X dollars and he spent 1/4 of those dollars, write an expression for how much money he spent.

OpenStudy (anonymous):

x-1/4

OpenStudy (tkhunny):

No. That would be spending 25¢. You need 1/4 of the total original funds. Try again.

OpenStudy (ybarrap):

you are on the right track, keep going

OpenStudy (anonymous):

1/4x

OpenStudy (ybarrap):

yay, now put it all together

OpenStudy (tkhunny):

Well, x/4 would be more clear, but yes. Okay, he also spent 1/5 of the funds. Write an expression for that.

OpenStudy (anonymous):

x/5

OpenStudy (tkhunny):

Perfect. Now, he started with x He spent x/4 He spent x/5 Can you write an expression representing the amount of funds REAMAINING in his pocket?

OpenStudy (anonymous):

x/4-x/5=11

OpenStudy (tkhunny):

Not so. That's just the amount spent. You must start with the amount originally in the pocket. x - x/4 - x/5 = 11 Does this make sense?

OpenStudy (anonymous):

i think so

OpenStudy (tkhunny):

The rest is algebra. Go!

OpenStudy (ybarrap):

You are subtracting your debts and only you have X to start with

OpenStudy (anonymous):

the answer is 231 which is A

OpenStudy (ybarrap):

You didn't solve for x. That's not what I get.

OpenStudy (anonymous):

what did you get

OpenStudy (anonymous):

220

OpenStudy (anonymous):

220+11=231

OpenStudy (ybarrap):

You need to solve \( x - x/4 - x/5 = 11 \).

OpenStudy (anonymous):

i did

OpenStudy (ybarrap):

show me your work and we can see what went wrong.

OpenStudy (anonymous):

my computer is about to reset in 30 sec so i cant show you but thanks

OpenStudy (anonymous):

Let x be the amount of pocket money before any spending occurs. If 1/4 of x is spent, then 3/4 of x remains. If 1/5 of (3/4)x is spent then 4/5 of (3/4)x remains. Solve the following for x:\[\frac{4}{5}\left(\frac{3}{4}x\right)= 11\]\[x=\frac{55}{3} \]Verify the result the long way:\[\left(\frac{55}{3}-\frac{1}{4}\frac{55}{3}\right)=\frac{55}{4} \]\[\frac{55}{4}-\frac{1}{5}\frac{55}{4}=11 \]

OpenStudy (anonymous):

55/3 $ doesn't convert to paper and coin money. the USA does not mint 1/3 dollars that I know of.

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