Question 1186670
<br>
Virtually always, the easiest way to start on a problem like this given the ratio 5:4 is this:<br>
Let 5x = original number of custard tarts
Let 4x = original number of fruit tarts<br>
Then 5x-30 = ending number of custard tarts
and 4x+96 = ending number of fruit tarts<br>
In the end, the ratio of the number of custard tarts to the number of fruit tarts was 1:2<br>
{{{(5x-30)/(4x+96)=1/2}}}
{{{2(5x-30)=1(4x+96)}}}
{{{10x-60=4x+96}}}
{{{6x=156}}}
{{{x=26}}}<br>
ANSWER: The number of custard tarts at the end was 5x-30 = 5(26)-30 = 130-30 = 100<br>