On a school field trip, the school requires that there are 6 teachers for every 90 students. If 135 students attend the trip how many teachers are needed?
Plz help
x = teachers are needed.
Proportion:
6 / 90 = x / 135
3 ∙ 2 / 3 ∙ 30 = x / 135
2 / 30 = x / 135
Cross Multiply
2 ∙ 135 = 30 ∙ x
270 = 30 x
Divide both sides by 30
270 / 30 = 30 x / 30
9 = x
x = 9
OR
( 6 / 90 ) ∙ 135 = 6 ∙ 135 / 90 = 810 / 90 = 9
Thanks sm!
To find out how many teachers are needed for 135 students on a school field trip, we can use the ratio provided by the school: 6 teachers for every 90 students.
To solve this, we can set up a proportion.
Let x be the unknown number of teachers needed.
The proportion can be written as:
6 teachers / 90 students = x teachers / 135 students
To solve for x, we can cross-multiply:
6 * 135 = 90 * x
810 = 90x
Now, divide both sides of the equation by 90 to isolate x:
810 / 90 = x
x = 9
Therefore, 9 teachers are needed for 135 students on the school field trip.