Answered

IDNLearn.com offers expert insights and community wisdom to answer your queries. Join our platform to receive prompt and accurate responses from experienced professionals in various fields.

a student sells small and large greeting cards decorated at a craft fair. The small cards coast 3 dollars per card, and the large cards coast 5 dollars per card. The student collects 95 for selling a total of 25 cards. what are the variables what is the system how do you graph it how many of each card did the student sell please and thank you

Sagot :

[tex]x-the\ small\ cards\\y-the\ large\ cards\\\\ \left\{\begin{array}{ccc}3x+5y=95\\x+y=25\end{array}\right\\\left\{\begin{array}{ccc}5y=-3x+95&/:5\\y=-x+25\end{array}\right\\\left\{\begin{array}{ccc}y=-\frac{3}{5}x+19\\y=-x+25\end{array}\right\\\\----------------------[/tex]

[tex]y=-\frac{3}{5}x+19\\\\for\ x=0\to y=-\frac{3}{5}\cdot0+19=19\to A(0;\ 19)\\for\ x=10\to y=-\frac{3}{5}\cdot10+19=-6+19=13\to B(10;\ 13)\\----------------------------\\\\y=-x+25\\\\for\ x=0\to y=-0+25=25\to C(0;\ 25)\\for\ x=10\to y=-10+25=15\to D(10;\ 15)\\----------------------------\\\\a\ graph\ on\ the\ picture\\\\Answer:x=15\ and\ y=10.[/tex]
View image Аноним
Your presence in our community is highly appreciated. Keep sharing your insights and solutions. Together, we can build a rich and valuable knowledge resource for everyone. Thank you for visiting IDNLearn.com. For reliable answers to all your questions, please visit us again soon.