Question

Share $4500 between Jane and Mary in the ratio 4 : 5, calculate the amount that each received.

Answer 1

Question :

Share $4500 between Jane and Mary in the ratio 4 : 5, calculate the amount that each received.

To find :

The amount received by each

Solution :

Ratio of Jane and Mary = 4 : 5

Sum of ratio = 4 + 5 = 9

$\small \sf Jane \: received = \frac{ratio \: of \: Jane}{sum \: of \: ratio} \times 4500$

$\sf \small \dashrightarrow \frac{4}{9} \times 4500$

$\sf \small \dashrightarrow \frac{4}{ \cancel{9}} \times \cancel{4500}$

So Jane received $ 2000

$\sf \small Mary \: received = \frac{ratio \: of \: mary}{sum \: of \: ratio} \times 4500$

$\sf\small\dashrightarrow \frac{5}{9} \times 4500$

$\sf\small\dashrightarrow \frac{5}{ \cancel{9}} \times \cancel{4500}$

So Mary received $ 2500