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27 votes
27 votes
Hudson and his children went into a bakery where they sell cupcakes for $4.75 each

and brownies for $2 each. Hudson has $30 to spend and must buy at least 7 cupcakes
and brownies altogether. If x represents the number of cupcakes purchased and
represents the number of brownies purchased, write and solve a system of
inequalities graphically and determine one possible solution.

User ImJustPondering
by
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2 Answers

23 votes
23 votes

Explanation:

refer the above attachment

Hudson and his children went into a bakery where they sell cupcakes for $4.75 each-example-1
User Sir Conquer
by
3.0k points
19 votes
19 votes


\\ \sf\longmapsto 4.75x+2y\leqslant 30---(1)


\\ \sf\longmapsto x+y\geqslant 7(2)

  • Multiply 2 with eq(2)


\\ \sf\longmapsto 2x+2y\geqslant 14---(3)

  • Subtracting (1) and (3)


\\ \sf\longmapsto 2.75x=16


\\ \sf\longmapsto x=(16)/(2.75)


\\ \sf\longmapsto x\geqslant5.8\approx 6

Put in eq(2)


\\ \sf\longmapsto (6)+y=7


\\ \sf\longmapsto y\geqslant 1

Atleast they purchased 6 cupcakes and 1 brownie .

User RKN
by
2.9k points
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