- Ryan made 20 Italian sodas the first hour and 24 Italian sodas the second hour. He wants to
average 25 Italian sodas per hour. How many Italian sodas will he need to make in the third
hour to have an average of 25?



Answer :

To determine how many Italian sodas Ryan needs to make in the third hour to achieve an average of 25 Italian sodas per hour over three hours, we can follow these steps:

1. Calculate the total number of sodas required for the desired average:
- To find out the total number of sodas Ryan needs to make to have an average of 25 sodas per hour over three hours, we multiply the desired average by the total number of hours.
[tex]\[ \text{Total sodas needed} = 25 \, \text{sodas/hour} \times 3 \, \text{hours} = 75 \, \text{sodas} \][/tex]

2. Determine the number of sodas Ryan has already made:
- Ryan has made 20 sodas in the first hour and 24 sodas in the second hour.
[tex]\[ \text{Sodas made in first two hours} = 20 + 24 = 44 \][/tex]

3. Calculate the number of sodas needed in the third hour:
- To find out how many more sodas Ryan needs to make in the third hour to reach the total of 75 sodas, we subtract the number of sodas he has already made from the total number of sodas required.
[tex]\[ \text{Sodas needed in third hour} = 75 - 44 = 31 \][/tex]

Therefore, Ryan needs to make 31 Italian sodas in the third hour to have an average of 25 Italian sodas per hour over the three hours.