A middle school band 2/9 as many band members as the high school band. The high school has 502 members. About how many members are in the middle school band?
To find the number of members in the middle school band, we can use the ratio between the middle school band and the high school band. The ratio of the middle school band to the high school band is 2/9. We can then set up the proportion:
(middle school band)/(high school band) = (2/9)
Let's substitute the value of the high school band, which is 502:
(middle school band)/502 = (2/9)
To solve for the middle school band, we multiply both sides of the equation by 502:
middle school band = (2/9) * 502
middle school band ≈ (2 * 502)/9
middle school band ≈ 111.11
Since the number of band members must be a whole number, we can conclude that there are approximately 111 members in the middle school band.
To find out approximately how many members are in the middle school band, we can set up a proportion.
Let's say x represents the number of members in the middle school band.
We know that the middle school band has 2/9 as many band members as the high school band, which has 502 members.
So, the proportion can be set up as:
(x)/(502) = (2/9)/(1)
To solve this proportion, we cross-multiply:
9x = 502 * 2
Next, we simplify the equation:
9x = 1004
To isolate x, we divide both sides of the equation by 9:
x = 1004 / 9
Using long division, we find that:
x ≈ 111.56
Therefore, there are approximately 112 members in the middle school band.