Answer:
Hence the pricing for each product will be taronges with 2 euros and mandarins with 2.5 euros.
Step-by-step 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,
[tex]2x+3y=11.5[/tex] ....................equation(1)
and [tex]3x+2y=11 ...[/tex]...........equation (2)
So , using substitution method,
[tex]3x=11-2y[/tex]
[tex]x=11-2y/3[/tex] .......equation (3)
Using above value in equation(1) we get ,
[tex]2(11-2y)/3+3y=11.5[/tex]
[tex]y=(11.5*3-22)/5[/tex])
y=2.5 euros
Using above value in equation(3) we get ,
[tex]x=(11-2y)/3[/tex]
[tex]x=(11-2*2.5)/3[/tex]
[tex]x=(11-5)/3[/tex]
x=2 euros
