There are 22 events at an indoor track and field meet. the ratio of track events to field events is 8:3. How many of the events are track events?

8 + 3 = 11

22/11 = 2

2 * 8 = 16 track events

OR

8/11 = x/22

11x = 176

x = 16

16

16

Tysm this helped with my homework when my teacher forgot to explain :)) <33

To find the number of track events at the indoor track and field meet, we need to know the ratio of track events to field events. According to the given information, the ratio is 8:3, which means that for every 8 track events, there are 3 field events.

Let's set up a proportion to solve the problem. Let "x" represent the number of track events:

Track events / Field events = 8 / 3

x / (22 - x) = 8 / 3

To solve this proportion, we can cross-multiply:

3x = 8(22 - x)

Distribute the 8 on the right side:

3x = 176 - 8x

Combine like terms:

3x + 8x = 176

11x = 176

Divide both sides by 11:

x = 176 / 11

Simplify the fraction:

x ≈ 16

Therefore, there are approximately 16 track events at the indoor track and field meet.