Question

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.

Answer 1

Explanation:

refer the above attachment

Answer 2

`\\ \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 .