SOLUTION: The bus fare between two cities is increased in the ratio 7:9. Find the increase in the fare if: (i) the original fare is 245 (ii) the increased fare is 207

Algebra ->  Proportions  -> Lessons -> SOLUTION: The bus fare between two cities is increased in the ratio 7:9. Find the increase in the fare if: (i) the original fare is 245 (ii) the increased fare is 207      Log On


   

Question 1086353: The bus fare between two cities is increased in the ratio 7:9. Find the increase in the fare if:
(i) the original fare is 245
(ii) the increased fare is 207
Found 2 solutions by josmiceli, addingup:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I guess what they are saying is:
[ old fare ] / [ new fare ] = 7/9 }}}
(i)
+245+%2F+x+=+7%2F9+
Multiply both sides by +9x+
+9%2A245+=+7x+
+x+=+2205%2F7+
+x+=+315+
+315+-+245+=+70+
The increase is $70
-----------------------
(ii)
+x%2F207+=+7%2F9+
+9x+=+7%2A207+
+9x+=+1449+
+x+=+161+
+207+-+161+=+46+
The increase is $46

Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
1) 245/1 x 7/9 cross multiply:
(245 x 9)/(1 x 7) = 315 is the new fare
----------------------------------------
2) straight multiply, then divide
207/1 x 7/9 = 1449/9 = 161 was the old fare