SOLUTION: Joe baked some custard tarts and fruit tarts. The ratio of the number of custard tarts to the number of fruit tarts was 5:4. After Joe sold 30 custard tarts and baked 96 more fruit

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Joe baked some custard tarts and fruit tarts. The ratio of the number of custard tarts to the number of fruit tarts was 5:4. After Joe sold 30 custard tarts and baked 96 more fruit      Log On


   

Question 1186670: Joe baked some custard tarts and fruit tarts. The ratio of the number of custard tarts to the number of fruit tarts was 5:4. After Joe sold 30 custard tarts and baked 96 more fruit tarts, the ratio of the number of custard tarts to fruit tarts was 1:2. How many custard tarts were left?
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Virtually always, the easiest way to start on a problem like this given the ratio 5:4 is this:

Let 5x = original number of custard tarts
Let 4x = original number of fruit tarts

Then 5x-30 = ending number of custard tarts
and 4x+96 = ending number of fruit tarts

In the end, the ratio of the number of custard tarts to the number of fruit tarts was 1:2

%285x-30%29%2F%284x%2B96%29=1%2F2
2%285x-30%29=1%284x%2B96%29
10x-60=4x%2B96
6x=156
x=26

ANSWER: The number of custard tarts at the end was 5x-30 = 5(26)-30 = 130-30 = 100