Problema Solution
Paul paid $25.50 for 3 cups of hot chocolate and 4 cups of hot tea. The cost of each cup of tea was 2/3 the cost of each hot chocolate. How much did each cup of hot chocolate cost?
Answer provided by our tutors
let
x = the cost of one cup of hot chocolate
y = the cost of one cup of hot tea
$25.50 for 3 cups of hot chocolate and 4 cups of hot tea
3*x + 4*y = 25.50
the cost of each cup of tea was 2/3 the cost of each hot chocolate
y = (2/3)*x
by solving the system of equations
3*x + 4*y = 25.50
y = (2/3)*x
we find
x = $4.5
y = $3
the cost of one cup of hot chocolate is $4.5.
the cost of one cup hot tea is $3.