Answer:
Number of cupcakes = 2
Number of cookies = 5
Step-by-step explanation:
Let [tex]x[/tex] denotes the number of cupcakes and [tex]y[/tex] denotes the number of cookies.
Abigail bought $11.25 worth of cupcakes and cookies such that each cupcake costs $3.75 and each cookie costs $0.75.
[tex]3.75x+0.75y=11.25[/tex]
At [tex]x=0;[/tex] [tex]0.75y=11.25[/tex]
[tex]y=\frac{11.25}{0.75} =15[/tex]
At [tex]y=0;3.75x=11.25[/tex]
[tex]x=\frac{11.25}{3.75}=3[/tex]
So, plot the points [tex](0,15)\,,\,(3,0)[/tex]
Also,
Abigail bought a total of 7 cupcakes and cookies altogether.
[tex]x+y=7[/tex]
At [tex]x=0;0+y=7[/tex]
[tex]y=7[/tex]
At [tex]y=0;x+0=7[/tex]
[tex]x=7[/tex]
So, plot points [tex](7,0)\,,\,(0,7)[/tex]
From the graph, solution is [tex](2,5)[/tex]
Number of cupcakes = 2
Number of cookies = 5
