Ray and Omar collect stamps. Originally, 1/5 of Omar’s stamps were equivalent to 1/3 of Ray’s stamps. If Ray gave Omar 24 stamps, Omar would have 3 times as many stamps as Ray.
Find the number of stamps each of them had in the beginning.
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1 answer

Omar's original number  x
Ray's original number  y
(1/5)x = (1/3)y
y = (3/5)x
After the gifting:
Ray has y24
Omar will have x + 24
x+24 = 3(y24
x  3y = 96
sub in first part:
x  3(3/5)x = 96
times 5
5x  9x = 480
x = 120
then y = (3/5)(120) = 72
Omar had 120 and Ray had 72
check: (1/5)(120) = 24
(1/3)(72) = 24, well that checks out
after gift:
ray has 72  24 = 48
Omar will have 120+24 = 144
is 144 equal to 3 times 48 ?? sure is! 👍
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answered by mathhelper
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