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.

$y=\frac{2x}{3}$   .... (2)

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

$3x+4(\frac{2x}{3})=25.50$

=$3x+\frac{8x}{3}=25.50$

=$\frac{9x+8x}{3}=25.50$

=$17x=76.5$

x=4.5

$y=\frac{2x}{3}$

=$\frac{2*4.5}{3}$

y =3

Hence each cup of hot chocolate is $4.50

Each cup of tea is $3.