Question

A shopkeeper filled a carton with apples, grapes and oranges in the ratio $12:15:17$. If there were $2288$ fruits in all, then how many apples, grapes and oranges were there in the carton?

Answer 1

We are given, shopkeeper Filled a cartoon with apples, grapes and oranges in the ratio $12:15:17$

Let $A$ denotes apples, $G$ denotes Grapes & $O$ denotes oranges

so, let $\frac{A}{12}=\frac{G}{15}=\frac{O}{17}=k$

$A=12k,G=15k$ & $O=17k$

Now, total Fruits are $2288$

So, $12k+15k+17k=2288$

$(asA+G+O=2288)$

$44k=2288$

$k=\frac{2288}{44}$

$k=52$

$A=12\times 52=624$ apples

$G=15\times 52=780$ grapes

$O=17\times 52=884$ oranges

So the shopkeeper Filled a carton with $62h$ apples, $780$ grapes and $884$ oranges.