Bus stop Restaurant sell 3/4 as many cheeseburgers as they do with hamburgers on any given day. If there are a total of 42 burgers sold, how many hamburgers sold

24cb 18 hb

Step-by-step explanation:

Let's call C the number of cheese burger sold and H the number of hamburgers.

As the cheeseburger sold are 3/4 of hamburgers, we can represent with the following equation:

C = (3/4) H (equation 1)

The total of burgers sold are the total of cheeseburger plus the total of hamburgers, and the sum 42. The equation representing it is:

C + H = 42

Replacing C by its value of eq. 1:

(3/4) H + H = 42

(3/4) H + (4/4) H = 42

(7/4) H = 42

Dividing both sides by (7/4)

H = 42 / (7/4)

H = 42 * (4/7)

H = (42/7) * 4

H = 6*4

H=24

Then, C is:

C = (3/4) H

C = (3/4) * 24

C = 3*24/4

C=72/4

C=18

We can verify it summing C+H

C+H=24+18=42 verified!