Final answer:
Julio will use 56 gray chairs and 24 blue chairs when setting up a total of 80 chairs with a ratio of 7:3 for gray to blue chairs.
Step-by-step explanation:
To determine how many gray chairs and blue chairs Julio will use if he sets up a total of 80 chairs with the ratio of gray to blue chairs being 7:3, we must first combine the parts of the ratio. This means adding 7 parts for gray chairs to 3 parts for blue chairs, giving us a total of 10 parts. Since he is setting up 80 chairs in total, we divide this number by the total number of parts to find out how many chairs each part represents.
80 chairs ÷ 10 parts = 8 chairs per part
Now we multiply the number of parts for each color by the number of chairs each part represents:
Gray chairs: 7 parts × 8 chairs per part = 56 gray chairs
Blue chairs: 3 parts × 8 chairs per part = 24 blue chairs
Therefore, Julio will use 56 gray chairs and 24 blue chairs.