Question

Two kilos of taronges and three kilos of mandarins cost 11.50 euros. Three kilos of taronges and two of mandarins cost 11 euros. Who is the price of each product?

Answer 1

Hence the pricing for each product will be taronges with 2 euros and mandarins with 2.5 euros.

Explanation:

Given:

2 kg of taronges and 3 kg mandarins cost 11.5 euros

3kg taronges and 2 kg mandarins cost 11 euros

To Find:

Price for each product

Solution:

Consider

Taronges =x euros

Mandarins=y euros

So by given condition,

`2x+3y=11.5` ....................equation(1)

and
`3x+2y=11 ...`...........equation (2)

So , using substitution method,

`3x=11-2y`

`x=11-2y/3` .......equation (3)

Using above value in equation(1) we get ,

`2(11-2y)/3+3y=11.5`

`y=(11.5*3-22)/5`)

y=2.5 euros

Using above value in equation(3) we get ,

`x=(11-2y)/3`

`x=(11-2*2.5)/3`

`x=(11-5)/3`

x=2 euros