Final answer:
To find the number of female spectators at the motocross race, the ratio of male to female spectators (10 to 3) is used in conjunction with the number of male spectators (370) to set up a proportion. Solving this proportion yields 111 female spectators.
Step-by-step explanation:
The question asks us to determine the number of female spectators at a motocross race given the ratio of the number of male spectators to female spectators and the total number of male spectators. The ratio provided is 10 to 3, which means for every 10 male spectators, there are 3 female spectators. With 370 male spectators in attendance, we can use a proportion to find the corresponding number of female spectators.
First, set up the ratio of males to females as an equivalent ratio using the number of males:
- 10 males / 3 females = 370 males / x females
Next, solve for x (the number of females):
- 10x = 3 × 370
- x = (3 × 370) / 10
- x = 1110 / 10
- x = 111
Therefore, there were 111 female spectators at the motocross race.