The grocery store employs 35 cashiers and grocery baggers altogether. There are 5 cashiers for every 2 grocery baggers. How many of each are employed?

Answer 1

number of cashiers --- 5x
number of baggers --- 2x , notice 5x:2x = 5:2

solve 5x + 2x = 35

Answer 2

First, list the multiples of both numbers:
5,10,15,20,25 (match them up.)
2,4, 6, 8, 10
10 and 25 adds up to 35, so the answer is 25 cashiers and 10 baggers