At a bargain store, karl bought 3 items that each cost the same amount. kellie bought 4 items that each cost the same amount, but each was $2.25 less than the items that karl bought. both karl and kellie paid the same amount of money. what was the individual cost of each person's items?

Hello...

Karl bought 3 items that all share the same price.

p = price

Then Kellie bought 4 items that each cost the same amount, but each was $2.25 less than the items that Karl bought. So, we will call this 4(p - 2.55).

We put parentheses around the p and 2.55 because Kellie's items all are $2.55 less than Karl's.

Solution:

3p = 4(p - 2.55)

Distributive Property:

3x = 4p - 10.2

-p = -10.2

Find the opposite of 4p.

p = 10.2

3(10.2) = 4(10.2 - 2.55)

36=36.

Karl's price - $10.2

Question - $2.55

$10.2 - $2.55 = $7.65

Kellie's items - $7.65.

Individual Prices:

Karl - 10.2 / 3 = 3.4

Kellie - 7.65 / 4 = 1.9125 = 1.91