Samuel made a total of 91 pies and puffs.1/3 of the pies and 16 puffs were sold.There was an equal number of puffs and pies left. How many puffs did Samuel make?

2 answers

If there were p puffs, then
p-16 = 2/3 (91-p)
number of puffs --- x
number of pies --- y
x + y = 91 -------> y = 91-x

pies sold: 1/3 y, leaving (2/3)y
puffs sold: 16, leaving x - 16

these are supposed to be equal
(2/3)y = x - 16
2y = 3x - 48
y = (3x-48)/2 , sub in y = 91-x
91-x = (3x-48)/2
182 - 2x = 3x - 48
-5x = -230
x = 46 , then y = 91-46 = 45

state your conclusion.