Problema Solution
Anne, Barry, and Cathy enter a coffee shop. Anne orders two coffees, one juice, and two doughnuts and pays $6.50. Barry orders one coffee and three doughnuts and pays $3.25. Cathy orders three coffees, one juice, and four doughnuts and pays $9.25. Find the price of the coffee, juice, and doughnuts at this coffee shop.
Answer provided by our tutors
let
c = the cost of a coffee
j = the cost of a juice
d = the cost of a doughnut
Anne orders two coffees, one juice, and two doughnuts and pays $6.50
2c + j + 2d = 6.50
Barry orders one coffee and three doughnuts and pays $3.25
c + 3d = 3.25
Cathy orders three coffees, one juice, and four doughnuts and pays $9.25
3c + j + 4d = 9.25
by solving the system of equations
2c + j + 2d = 6.50
c + 3d = 3.25
3c + j + 4d = 9.25
we find
c = $1.75
j = $2
d = $0.5
click here to see the step by step solution of the system of equations
the coffee is $1.75.
the juice is $2.
the doughnut is $0.5.