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P6 Gap & Difference
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TOPIC: P6 Gap & Difference
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#4423
P6 Gap & Difference 1 Year, 5 Months ago Karma: 2
Adam and rahmad shared some beads. if adam gave 1/3 of his share to rahmad, rahmad would have 70 more than adam. if adam gave 1/5 of his share to rahmad, rdahmad would have 10 more than adam. how many beads does adam have at first?
answer 225 beads.
Shirley
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Last Edit: 2010/08/23 08:35 By Chris.
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#4424
P6 Ratio 1 Year, 5 Months ago Karma: 43
Shirley wrote:
Adam and rahmad shared some beads. if adam gave 1/3 of his share to rahmad, rahmad would have 70 more than adam. if adam gave 1/5 of his share to rahmad, rdahmad would have 10 more than adam. how many beads does adam have at first?
answer 225 beads.
Case 1
2/3 of A + 70 = R + 1/3 of A
R-1/3 of A = 70
R-5/15 of A = 70 - (1)

Case 2
4/5 of A + 10 = R + 1/5 of A
R-3/5 of A = 10
R-9/15 of A = 10 - (2)

(1)-(2)
4/15 of A = 60
A = 60x15/4 = 225

At first, Adam has 225 beads.
Perseverance
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#4428
Re: P6 Ratio 1 Year, 5 Months ago Karma: 2
tx persevere. can you or Chris use the model method pls.
Shirley
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#4430
Re: P6 Gap & Difference 1 Year, 5 Months ago Karma: 138
Adam and rahmad shared some beads. if adam gave 1/3 of his share to rahmad, rahmad would have 70 more than adam. if adam gave 1/5 of his share to rahmad, rdahmad would have 10 more than adam. how many beads does adam have at first?
answer 225 beads.

To help I have drawn the lines A,B,C,D to break down the components of the 70 beads

Chris Rogers
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#4431
Re: P6 Gap & Difference 1 Year, 5 Months ago Karma: 2
thanks chris, appreciate & will mull over it!
Shirley
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