Paul paid $ 25.50 for 3 cups of hot chocolate and cups of tea. the cost of each cup of tea was 2/3 the cost of each cup of hoy chocolate. how much did each cup of hot chocolate cost?

Let the cost of one cup of hot chocolate  be = x

Let the cost of one cup of hot tea be = y

Paul paid $ 25.50 for 3 cups of hot chocolate and 4 cups of tea.

Equation becomes =   ...(1)

As given, the cost of each cup of tea was 2/3 the cost of each cup of hot chocolate.

  .... (2)

Putting the value of y from (2) in (1)

=

=

=

x=4.5

=

y =3

Hence each cup of hot chocolate is $4.50

Each cup of tea is $3.