Question

Sam's bakery has 4 ovens which bake a total of 200 cookies daily. Each oven bakes equal number of cookies. He adds five more similar ovens to meet the increasing demand. The number of cookies that can be produced each day is .

Answer 1

4 ovens can bake 200 cookies each day.
$\therefore$ Ratio of number of cookies to the number of ovens $=200\text{cookies}:4\text{ovens}$
Let the number of cookies that can be baked using 5 more ovens be $n$
$\therefore$ Ratio of number of cookies to the number of ovens $=n\text{cookies}:(5+4)\text{ovens}$
$\because$ The ratio of number of cookies to number of ovens is proportional.
$\Rightarrow 200\text{cookies}:4\text{ovens}::n\text{cookies}:(5+4)\text{ovens}$
$\Rightarrow \frac{200}{4}=\frac{n}{4+5}$
$\Rightarrow \frac{200\times 9}{4}=n$
$\Rightarrow n=450$
$\therefore 450$ cookies can be baked using 9 ovens.