Question

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?​

Answer 1

Answer : -

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.

Answer : -

Only need 1 variable: t = total sweets

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

3t - 40 = 2t + 40

t = 80

Answer : -

As Nora started with 60% of the sweets, she gave away 10%, and so there were 80 sweets.

Please mark me as brainliest.

Answer 2

Answer:

• Nora received 3/5 of the sweets means Tom received 2/5
• if Nora gives tom 8 sweets and they both got now equal portions means they both have 2.5/5
• Nora had 3/5 then she gave 8 sweets to Tom and now she is left with 2.5/5 means 0.5/5 is equal to 8 sweets
• 0.5 = 8 sweets
• 0.5x10=5
• 8x10=80 sweets
• all 5 portion are equal to 80 sweets