Question

1. on a sixth grade field trip, there are 5 chaperones for every 30 students. there are 175 people on the field trip.

a how many chaperones are on the field trip?
b how many sixth graders are on the field trip?
c what percent are chaperones? round to the nearest whole percent.
d what percent are sixth graders? round to the nearest whole percent.

Explanation:

Part (a)

Step1: Determine group size

Each group has 30 students + 5 chaperones = 35 people.

Step2: Find number of groups

Total people = 175, so number of groups = \( \frac{175}{35} = 5 \).

Step3: Calculate chaperones

Each group has 5 chaperones, so total chaperones = \( 5 \times 5 = 25 \).

Step1: Use total and chaperones

Total people = 175, chaperones = 25 (from part a).

Step2: Subtract to find students

Sixth graders = \( 175 - 25 = 150 \).

Step1: Recall formula for percentage

Percentage = \( \frac{\text{Chaperones}}{\text{Total}} \times 100 \).

Step2: Plug in values

Chaperones = 25, Total = 175. So \( \frac{25}{175} \times 100 \approx 14.29\% \), rounded to nearest whole percent is 14%.

Answer:

25

Part (b)