Answered

Dive into the world of knowledge and get your queries resolved at IDNLearn.com. Join our knowledgeable community to find the answers you need for any topic or issue.

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 participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. Find reliable answers at IDNLearn.com. Thanks for stopping by, and come back for more trustworthy solutions.