Q&A - P5 Math

[Herbie]

MathAche:

Can anybody provide the model for this problem?


John has 3 times as many stamps as Peter. When John loses 420 stamps and Peter loses 40 stamps, Peter has twice as many stamps as John. How many stamps does each of them have at first?

err, i dun know how to use model by i just provide you with the alternative solution.

John : Peter
3u :1u
-420 : -40
_________
p : 2p

hence
3u-420 = p --(1) x 2 (so as to make becomes 2p)
1u-40=2p ---(2)

6u-840 = 2p ----(3)

Hence
1u-40=6u-840
u=160

Based on 1u-40 =2p
p= 60

John has 3u= 160 x 3=480
Peter has 1u=160

[szepinge]

Answer

Peter 88
John 264

[alan000]

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MathAche:

Can anybody provide the model for this problem?


John has 3 times as many stamps as Peter. When John loses 420 stamps and Peter loses 40 stamps, Peter has twice as many stamps as John. How many stamps does each of them have at first?

Dear MathAche,

Hope this helps.

[Easy-going]

Anybody can help me solve this problem sum?


If X gives Y 1/3 of his money, Y willhave $70 more than X. If X gives Y 1/5 of his money, Y will have $10 more than X. How much does each of them have at first?

[MathIzzzFun]

Easy-going:

Anybody can help me solve this problem sum?


If X gives Y 1/3 of his money, Y willhave $70 more than X. If X gives Y 1/5 of his money, Y will have $10 more than X. How much does each of them have at first?

Hi

X --> 15 units
After X gives 1/3 to Y, X --> 10 units, Y ---> 10 units + 70

So, money each has :
X --> 15 units
Y --> 5 units + 70

If X gives 1/5 to Y,
X --> 12 units, Y --> 8 units + 70
8 units + 70 = 12 units + 10 --> 4 units = 60, 1 unit = 15

X --> 15 x $ 15 = $ 225
Y --> 5 x $ 15 + & 70 = $ 145

cheers.

[blueymum]

Thanks Tianzhu for your help. Really appreciated it.



Just wondering if anyone knows how to solve this?

Sam earns 7/9 as much as Andy. Ken’s salary is 1/6 of the total salary of the three men. Ken earns $2560 less than the combined salary of Sam and Andy. What is Sam’s salary?

thanks all!!

[blueymum]

Thanks Tianzhu for your help. Really appreciated it.



Just wondering if anyone knows how to solve this?

Sam earns 7/9 as much as Andy. Ken’s salary is 1/6 of the total salary of the three men. Ken earns $2560 less than the combined salary of Sam and Andy. What is Sam’s salary?

thanks all!!

[MathIzzzFun]

blueymum:

Thanks Tianzhu for your help. Really appreciated it.



Just wondering if anyone knows how to solve this?

Sam earns 7/9 as much as Andy. Ken's salary is 1/6 of the total salary of the three men. Ken earns $2560 less than the combined salary of Sam and Andy. What is Sam's salary?

thanks all!!

Hi

Sam : Andy --> 7 : 9 --> 35u : 45u (total 80u)
Ken : Sam + Andy --> 1 : 5 --> 16u : 80u

80u-16u = 64u --> $ 2560
1u --> $ 40

35u --> 35 x $40 = $ 1400

Sam's salary = $ 1400

cheers.

[MathAche]

thank you both for the answer and model. Cheers.

[blueymum]

Thanks


Just to check how did you derive 35u:45u ?

Appreciate your help.