Question

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. If there favorite candy cost $2.50 per pack, how many packs of candy can each of them buy

Answer 1

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 .

`(7)/(5)=(x)/(x-42)\\\\7x - 294 = 5x\\\\x =\$ 147`

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.