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

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 .

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.

can you give me more detail on this! ?

step-by-step explanation:

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is