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September 22nd, 2018, 05:36 AM   #1
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Tom and Nora shared some sweets

Tom and Nora shared some sweets. Nora received 3/5 of the sweets. She gave Tom 8 sweets so that both of them had an equal number of sweets. How many sweets did Tom and Nora share in all?

My work:

Number of sweets Tom have = T
Number of sweets Nora have = N
Number of sweets = S

[1] We know Tom and Nora shared some sweets. T + N = S
[2] Nora received 3/5 of the sweets. She gave Tom 8 sweets so that both of them had an equal number of sweets. 3/5N - 8 = 2/5T + 8

Now here is my question, did I do it mathematically correct?

From [2], I changed the N and the T to an S

so 3/5S - 8 = 2/5S + 8

so, S = 80.

Is it mathematically correct to change N and T to an S because we are looking for how many sweets their are?
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September 22nd, 2018, 06:26 AM   #2
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No. The final answer and your last equation are correct but N and T are initially being used as the total number of sweets, not how many sweets Tom and Nora had.

Solve 3/5S - 8 = 1/2S for S. You can obtain that equation from the given information.
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Last edited by greg1313; September 22nd, 2018 at 06:39 AM.
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September 22nd, 2018, 08:30 AM   #3
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As Nora started with 60% of the sweets, she gave away 10%, and so there were 80 sweets.
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September 22nd, 2018, 09:52 AM   #4
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Only need 1 variable: t = total sweets

3t/5 - 8 = 2t/5 + 8 ; multiply by 5:
3t - 40 = 2t + 40
t = 80

If they're marshmallows, I want 'em all!
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September 22nd, 2018, 06:23 PM   #5
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Quote:
Originally Posted by greg1313 View Post
N and T are initially being used as the total number of sweets, not how many sweets Tom and Nora had.

information.
Thank you for this

And thank you to everyone for answering my question
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