SOLUTION: Graham and Michael share £35 in the ratio 5 : 2. Work out the amount of money that Graham gets.

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Graham and Michael share £35 in the ratio 5 : 2. Work out the amount of money that Graham gets.      Log On


   

Question 918163: Graham and Michael share £35 in the ratio 5 : 2.
Work out the amount of money that Graham gets.
Found 2 solutions by ewatrrr, josmiceli:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

Graham and Michael share £35 in the ratio 5 : 2

Let x represent the constant of proportionality

5x + 2x = £35

7x = 35

x = 5

Graham gets £25  5%2A5

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +g+ = amount Graham gets
Let +m+ = amount Michael gets
----------------
(1) +g+%2B+m+=+35+
(2) +g%2Fm+=+5%2F2+
-------------------
(2) +g+=+%285%2F2%29%2Am+
By substitution:
(1) +%285%2F2%29%2Am+%2B+m+=+35+
(1) +5m+%2B+2m+=+70+
(1) +7m+=+70+
(1) +m+=+10+
and, since
(2) +g+=+%285%2F2%29%2Am+
(2) +g+=+%285%2F2%29%2A10+
(2) +g+=+25+
Graham gets 25
Michael gets 10