Question

Mrs.collins is organizing a school trip. 120 students are going on the trip. the ratio of the number of the staff to the number of students must be 1:15. Mrs Collins book three coaches for the trip. each coach has 42 seats. Are there enough seats for all the students and the staff?. pls show the working

Answer 1

so if there are 120 students and the ratio of staff to students is 1:15
then how to solve the number of staff?

Answer 2

any idea? @s4

Answer 3

@Miracrown
Should I try?

Answer 4

nope no idea

Answer 5

Remember proportion?

Answer 6

so in this case number of staff is proportion to number of student by a ratio of 1:15
so 1 is proportion to 15 as if what is proportion to what?
remember number of staff i let it to be x and number of student is given to be 120
so 1:15

Answer 7

x/120=1/15,
we get x=8 (teachers)
now,
42*3coaches=126
but student+teachers, i.e, 120+8=128

Answer 8

ohh

Answer 9

it is essentially saying if there are 15 student then 1 staff is taking care of them, now there are 120 students, how many staff is needed to take care of those 120 students?

Answer 10

I get it now, thank you :D

Answer 11

So what is it? :D

Answer 12

So this is wat I did
1+15=16
120/16=7.5=8
1x8=8(for staff)
+
15x8=120(for students)
=128
now for coaches
42x3=126
so its not enough they need 2 more seats

Answer 13

is it right ?