Given :
Luis and Olivia are saving money to buy their favorite candy at the store.
For every $5 Luis saves, Olivia saves $7.
After a week, Luis saves $42 less than Olivia.
To Find :
If there favorite candy cost $2.50 per pack, how many packs of candy can each of them buy.
Solution :
Ratio of money saved by Olivia and Luis is 7/5 .
Let, money save by Olivia is x.
So, money saved by Luis is x - 42 .
[tex]\dfrac{7}{5}=\dfrac{x}{x-42}\\\\7x - 294 = 5x\\\\x =\$ 147[/tex]
Money saved by Luis, $105 .
Number of pack Olivia can buy is, = 147/2.5 = 58.8 = 58 packets.
Number of pack Luis can buy is, = 105/2.5 = 42 packets.
Therefore, Olivia and Luis can buy 58 and 42 packets respectively.
