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PSLE Mathematics

Question post on Sun, 22/03/2020 3:13pm

Hi, please help

Sandra and Denise had $486 altogether. The ratio of Sandra’s money to Denise’s money was 5:4. After each of them gave away the same amount of money, the ratio became 5:2 respectively. How much money did both girls give away altogether?

Answer

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hancao620 · Answer 2 · Post on Thu, 16/07/2020 3:27pm

hancao620 Post on Thu, 16/07/2020 3:27pm

x+y = 486

x/y = 5/4

(x-z)/(y-z) = 5/2

x=270, y=216, z=180

total give up = 2*z = 360

Thrive Psychology Clinic · Answer 3 · Post on Wed, 15/07/2020 12:04am

5 + 4 = 9 units in total

9 units = 486

1 unit = 54

Sandra had 270

Denise had 216

As you can see these numbers are quite close, to become a skewed ratio of 5:2, they both have to give away very large amount.

Using trial and error, you can try a few numbers.
If both give away 180, you have 90 and 36 left. This will give ratio of 5:2

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Adwin · Answer 6 · Post on Sun, 22/03/2020 8:52pm

Adwin Post on Sun, 22/03/2020 8:52pm

Adwin · Answer 7 · Post on Sun, 22/03/2020 8:52pm

Adwin

Post on Sun, 22/03/2020 8:52pm

FrankKK · Answer 8 · Post on Tue, 14/04/2020 12:02pm

Thanks Adwin.

Please correct me if I’m wrong. The question asks for the money they gave away altogether, not individually. So, isn’t it 20 units instead of 10 units? If that’s the case, shouldn’t the answer be $360?

Kindly advise and thanks.

Regards,

KK

Adwin · Answer 9 · Post on Tue, 14/04/2020 12:10pm

Adwin Post on Tue, 14/04/2020 12:10pm

Yes. You are correct. That’s a mistake on my part.

FrankKK · Answer 10 · Post on Tue, 14/04/2020 12:14pm

FrankKK Post on Tue, 14/04/2020 12:14pm

Hi Adwin,

Thank you and we learn together.

Kindly stay safe.

Regards,

KK