Problema Solution
a group of friends decides to meet for pizza, and one person calls ahead to order the pies. However, three of the group do not show up at the pizza parlor. The friends who do show up figure that is each adds $3 to their original share, they could cover the bill, which totals $70. How many friends eat pizza?
Answer provided by our tutors
let
x = the number of friends that were supposed to go to eat pizza
t = the share
x*t = 70 => t = 70/x
3 people didnt show up => x-3 people ate pizza
each adds $3 to their original price => the share is t + 3
(x - 3)(t + 3) = 70
of we plug t = 70/x we get
(x - 3)(70/x + 3) = 70
by solving the equation we find
x = 10
click here to see the step by step solution of the equation
x - 3 = 7
7 people ate pizza.