70 students have arrived at the cafeteria. This is 35% of the group. How many students are in the group?

2 Answers
Mar 19, 2018

200

Explanation:

70 - 35%
x - 100%
x = #(100*70)/35 = 200#

Mar 19, 2018

#200#

Explanation:

#70# students arrived at the cafeteria. But that doesn't mean there are only 70 students. The rest are still behind. That #70# students are #35%# of the group. Now they ask us to find the amount of students are there in total.

#35%..........70#
#100%.........x#

Cross multiply

#(35)(x) = (70)(100)#

#35x= 7000#

Divide both sides by #35#

#(cancel35x)/cancel35= 7000/35#

#x=200#

Thus,

There are #200# students in the group!