Problema Solution
two friends go to a restaurant that offers buy one dinner,get one free dinner of equal or lesser value. one friend chooses a $16 dinner and the other chooses a $10 dinner. excluding tax and tip how should they share the check for $16 fairly
Answer provided by our tutors
let
x = the money that the friend who had $16 dinner should pay
y = the money that the friend who had $10 dinner should pay
each should pay proportionally to the value of his dinner:
x : y = 16 : 10 cross-multiply
10x = 16y divide both sides by 2
5x = 8y
altogether they should pay $16:
x + y = 16
by solving the system of equations
5x = 8y
x + y = 16
we find
x = $9.85
y = $6.15
click here to see the step by step solution of the system of equations
the friend that had $16 dinner should pay $9.85.
the friend that had $10 should pay $6.15.
et
x = the money that the friend who had $16 dinner should pay
y = the money that the friend who had $10 dinner should pay
each should pay proportionally to the value of his dinner:
x : y = 16 : 10 cross-multiply
10x = 16y divide both sides by 2
5x = 8y
altogether they should pay $16:
x + y = 16
by solving the system of equations
5x = 8y
x + y = 16
we find
x = $9.85
y = $6.15
click here to see the step by step solution of the system of equations
the friend that had $16 dinner should pay $9.85.
the friend that had $10 dinner should pay $6.15.