SOLUTION: A cake weighing 550g has three ingredients: Flour, sugar and raisins. There is twice as much flour than sugar, and one and a half times as much sugar than raisins. How much flo

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A cake weighing 550g has three ingredients: Flour, sugar and raisins. There is twice as much flour than sugar, and one and a half times as much sugar than raisins. How much flo      Log On


   



Question 269713: A cake weighing 550g has three ingredients: Flour, sugar and raisins. There is twice as much flour than sugar, and one and a half times as much sugar than raisins.
How much flour is there?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(1) f+%2B+s+%2B+r+=+550
(2) f+=+2s
(3) s+=+%283%2F2%29%2Ar
-------------------
From (3)
r+=+%282%2F3%29%2As
By substitution:
(1) f+%2B+s+%2B+r+=+550
2s+%2B+s+%2B+%282%2F3%29%2As+=+550
3s+%2B+%282%2F3%29%2As+=+550
9s+%2B+2s+=+1650
11s+=+1650
s+=+150
And, since
(2) f+=+2s
f+=+2%2A150
f+=+300
There is 300 g of flour
check:
r+=+%282%2F3%29%2As
r+=+%282%2F3%29%2A150
r+=+100
and
(1) f+%2B+s+%2B+r+=+550
300+%2B+150+%2B+100+=+550
550+=+550
OK