Question

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?

Answer 1

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 =
`3x+4y=25.50` ...(1)

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

`y=(2x)/(3)` .... (2)

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

`3x+4((2x)/(3))=25.50`

=
`3x+(8x)/(3)=25.50`

=
`(9x+8x)/(3)=25.50`

=
`17x=76.5`

x=4.5

`y=(2x)/(3)`

=
`(2*4.5)/(3)`

y =3

Hence each cup of hot chocolate is $4.50

Each cup of tea is $3.