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QuestionIf 18 adults volunteer, how many students can attend the trip based on a 2:9 adult to student ratio? Use diagrams and tables.

Studdy Solution

STEP 1

Assumptions1. The ratio of adults to students is9. The number of adults volunteering is18

STEP 2

First, we need to find out how many students can go for each adult. We can do this by dividing the number of students by the number of adults in the given ratio.
Students per adult=Number of studentsNumber of adultsStudents\, per\, adult = \frac{Number\, of\, students}{Number\, of\, adults}

STEP 3

Now, plug in the given values for the number of students and adults in the ratio to calculate the students per adult.
Students per adult=92Students\, per\, adult = \frac{9}{2}

STEP 4

Calculate the number of students per adult.
Students per adult=92=4.Students\, per\, adult = \frac{9}{2} =4.

STEP 5

Now that we have the number of students per adult, we can find out how many students can go if18 adults volunteer. This can be done by multiplying the number of adults by the students per adult.
Number of students=Number of adultstimesStudents per adultNumber\, of\, students = Number\, of\, adults \\times Students\, per\, adult

STEP 6

Plug in the values for the number of adults and the students per adult to calculate the number of students.
Number of students=18times4.5Number\, of\, students =18 \\times4.5

STEP 7

Calculate the number of students.
Number of students=18times4.5=81Number\, of\, students =18 \\times4.5 =81So, if18 adults volunteer,81 students could go on the field trip.

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