SOLUTION: a bakery makes marble rye using white,light rye, and darkrye flour. if they use three fourths as much light rye as dark rye but the amount of white flour is 50 % of the amount of

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: a bakery makes marble rye using white,light rye, and darkrye flour. if they use three fourths as much light rye as dark rye but the amount of white flour is 50 % of the amount of       Log On


   



Question 568797: a bakery makes marble rye using white,light rye, and darkrye flour. if they use three fourths as much light rye as dark rye but the amount of white flour is 50 % of the amount of dark rye, how much light rye flour is needed to make a 1,000 gram loaf?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = grams of white four used
Let +b+ = grams of light rye flour used
Let +c+ = grams of dark rye flour used
given:
(1) +b+=+%283%2F4%29%2Ac+
(2) +a+=+%281%2F2%29%2Ac+
(3) +a+%2B+b+%2B+c+=+1000+
Substitute (1) and (2) into (3)
(3) +%281%2F2%29%2Ac+%2B+%283%2F4%29%2Ac+%2B+c+=+1000+
Multiply both sides by 4
(3) +2c+%2B+3c+%2B+4c+=+4000+
(3) +9c+=+4000+
(3) +c+=+444.444+
and
(1) +b+=+%283%2F4%29%2A444.444+
(1) +b+=+333.333+
and
(2) +a+=+%281%2F2%29%2Ac+
(2) +a+=+%281%2F2%29%2A444.444+
(2) +a+=+222.222+
333.333 grams of light flour are needed