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Mia and her children went into a bakery where they sell cupcakes for $2.75 each and
brownies for $1.25 each. Mia has $30 to spend and must buy at least 14 cupcakes
and brownies altogether. If x represents the number of cupcakes purchased and y
represents the number of brownies purchased, write and solve a system of
inequalities graphically.

Answer :

MRROYALGO

Answer:

[tex]x = 8.5[/tex] and [tex]y = 5.3[/tex]

Step-by-step explanation:

Given

[tex]x = cupcakes[/tex]

[tex]y = brownies[/tex]

From the first statement:

[tex]2.75x + 1.25y = 30[/tex]

From the second statement:

[tex]x + y \le 14[/tex]

Required

Solve graphically

I've written the equations (above) and they are:

[tex]x + y \le 14[/tex]

[tex]2.75x + 1.25y = 30[/tex]

See attachment for graph.

The blue line represents [tex]2.75x + 1.25y = 30[/tex]

The shaded part of the graph represents [tex]x + y \le 14[/tex]

From the graph, the solution is:

[tex]x = 8.5[/tex]

[tex]y = 5.3[/tex]

View image MRROYAL

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