100 Monks share 100 loaves of bread. Senior monks get 3 loaves of bread. Three junior monks share 1 loaf. How many senior monks are there? How many junior monks are there?

Answer 1

let x = # of senior monks

that means (100 - x) = # of junior monks

so 3l loaves per senior is (3x)

1/3 loaf per junior is (100 - x )/.3

so 3x + ((100-x)/3) = 100 loaves

solve 3x + (100/3 - x/3)

so 8x/3 +100/3 = 100

8x + 100 =300

8x = 200

x=25 25 senior monks ate 75 loaves

and

so 100-x = 75 75 junior monks shared 25 loaves

Answer 2

S + j = 100

3S + (1/3)j = 100

--------------------------

S+ j = 100

9s + j = 300

8s = 200

s = 200/8 = 25

25 senior monks, 75 junior monks