SOLUTION: Divide 76 into two parts so that two-thirds of one part is equalto 3/5 of the other part

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Question 1036534: Divide 76 into two parts so that two-thirds of one part is equalto 3/5 of the other part
Found 2 solutions by JBarnum, MathTherapy:
Answer by JBarnum(2146)   (Show Source): You can put this solution on YOUR website!
these are the 2 equations u are given in the word problem:


I would start with solving 2nd equation for x

now plug into above equation

to not deal with alot of fractions multiply both sides by 3/2

add y to both sides

multiply by 10

divide by 19

to find x simply substitute y value in the 2nd equation



so lets check the question again Is two thirds of 36 equal to three fifths of 40?
2/3 of 36=(12+12+12) is 24
3/5 of 40=(8+8+8+8+8) is 24
yep this is correct.

Answer by MathTherapy(10551)   (Show Source): You can put this solution on YOUR website!

Divide 76 into two parts so that two-thirds of one part is equalto 3/5 of the other part
Let 1st part be F

Then other part is: 76 - F

We then get: __________

5(2F) = 3(228 - 3F) ------- Cross-multiplying

10F = 684 - 9F

10F + 9F = 684

19F = 684

F, or 1st part = , or

Other part: 76 - 36, or  

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