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?

Question

Mathematics

Dane Hanna

10 April, 12:59

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?

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Answers (1)

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Schultz · Answer 1

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