Answer:
32% of students went on this field trip.
Step-by-step explanation:
Given : 80% of 6-graders and 20% of 5-graders went on a field trip. If there are 20 6-graders and 80 5-graders.
To find : What percent of students went on this field trip?
Solution :
Let A be the 6-graders students.
B be the 5-graders students.
We have given, A=20 and B = 60
According to question,
80% of 6-graders going on trip
i.e. [tex]=\frac{80}{100}\times A[/tex]
[tex]=\frac{80}{100}\times 20[/tex]
[tex]=16[/tex]
20% of 5-graders going on trip
i.e. [tex]\frac{20}{100}\times B[/tex]
[tex]=\frac{20}{100}\times 80[/tex]
[tex]=16[/tex]
Total number of students going on the field trip is
[tex]T=\frac{\frac{80}{100}\times A+\frac{20}{100}\times B}{20+80}[/tex]
[tex]T=\frac{16+16}{100}[/tex]
[tex]T=\frac{32}{100}[/tex]
32 students out of 100 students.
Into percentage,
[tex]T\%=\frac{32}{100}\times 100=32\%[/tex]
Therefore, 32% of students went on this field trip.
