Respuesta :
Let's use the variable 'x' to represent the number of 30c cards and the variable 'y' to represent the number of 35c cards.
If the total price of the box is $5.80, we can write the equation:
[tex]0.30x+0.35y=5.80[/tex]If the number of 30c cards is six more than half the number of 35c cards, we have that:
[tex]x=6+0.5y[/tex]Using this value of x in the first equation, we have:
[tex]\begin{gathered} 0.3(6+0.5y)+0.35y=5.8 \\ 1.8+0.15y+0.35y=5.8 \\ 0.5y=5.8-1.8 \\ 0.5y=4 \\ y=\frac{4}{0.5}=8 \end{gathered}[/tex]So the number of 35 cards is 8.
