Question

A newspaper and three hot chocolates cost $7. Two newspapers and two hot chocolates cost $6. How much does one hot chocolate cost?

Answer 1

the cost of one hot chocolate is $2.

Explanation:

Let x be the hot chocolate cost and y be the newspaper cost.

Given:

A newspaper and three hot chocolates cost $7

So, the equation is

`3x+y=7`--------(1)

Two newspapers and two hot chocolates cost $6

So, the second equation is.

`2x+2y=6`---------(2)

Find one hot chocolate cost?

Solve equation 1 for y.

`3x+y=7`

`y=7-3x`

Put y value in equation 2

`2x+2(7-3x)=6`

`2x+14-6x=6`

`14-4x=6`

`-4x=6-14`

`-4x=-8`

negative sign is cancelled both side.

`x=(8)/(4)`

`x=2`

Therefore, the cost of one hot chocolate is $2.