Skylar and her children went into a bakery that sells cupcakes for $2 each and donuts for $1 each. Skylar has $20 to spend and must buy a minimum of 12 cupcakes and donuts altogether. If x represents the number of cupcakes purchased and y represents the number of donuts purchased, write and solve a system of inequalities graphically and determine one possible solution.
Make this word problem more about Rocky Balboa and Ivan Drago.
The problem you create must be an open-ended application question –
meaning – it must be a word problem in any language. The problem can contain concepts from more than one lesson/unit if you
choose. You will not be allowed to copy and paste a problem that was previously covered in class, BUT you can take inspiration from
word problems used in the notes, practices, and/or reviews or delta math.
Rocky Balboa and Ivan Drago decided to have a friendly competition to see who could buy the most cupcakes and donuts at a local bakery. The bakery sells cupcakes for $2 each and donuts for $1 each. Rocky and Ivan each have $20 to spend. They must buy a minimum of 12 cupcakes and donuts altogether.
Let x represent the number of cupcakes Rocky purchases and y represent the number of donuts Ivan purchases.
The inequalities can be written as:
2x + y ≤ 20
x + y ≥ 12
To solve the system of inequalities graphically, we can plot the lines:
2x + y = 20
x + y = 12
By plotting the two lines on a graph, we can find the feasible region where both inequalities are satisfied. One possible solution within this region could be x = 6 cupcakes and y = 6 donuts.
It has to be about boxing
Rocky Balboa and Ivan Drago, two renowned boxers, decided to celebrate their upcoming match by buying cupcakes and donuts. The bakery they visited sells cupcakes for $2 each and donuts for $1 each. Rocky and Ivan each have $20 to spend and must buy a minimum of 12 cupcakes and donuts altogether.
Let x represent the number of cupcakes Rocky purchases and y represent the number of donuts Ivan purchases.
The inequalities can be written as:
2x + y ≤ 20
x + y ≥ 12
To solve the system of inequalities graphically, we can plot the lines:
2x + y = 20
x + y = 12
By plotting the two lines on a graph, we can find the feasible region where both inequalities are satisfied. One possible solution within this region could be x = 4 cupcakes and y = 8 donuts.
Make the word problem more about who got the most punches which is rocky balboa.
Rocky Balboa, a famous boxer known for his strength and resilience, challenged his rival Ivan Drago to a competition to see who could buy the most cupcakes and donuts at a local bakery. The bakery sells cupcakes for $2 each and donuts for $1 each. Rocky and Ivan each have $20 to spend. They must buy a minimum of 12 cupcakes and donuts altogether.
Let x represent the number of cupcakes Rocky purchases and y represent the number of donuts Ivan purchases.
Rocky, determined to come out on top, strategizes his purchases to optimize his punch count. He decides to buy more cupcakes than donuts, knowing that cupcakes give him an extra boost of energy like a power punch in the ring.
The inequalities can be written as:
2x + y ≤ 20
x + y ≥ 12
x > y
To solve the system of inequalities graphically, we can plot the lines:
2x + y = 20
x + y = 12
x = y
By plotting the lines on a graph and taking into account the condition x > y, we can find the feasible region where both inequalities are satisfied. One possible solution within this region could be x = 6 cupcakes and y = 6 donuts, showing that Rocky bought more cupcakes than donuts and emerged victorious in the competition.
Don’t make it about cupcakes
Rocky Balboa, a legendary boxer known for his powerful punches, challenged his opponent Ivan Drago to a showdown at a local bakery. They decided to see who could buy the most pastries - croissants and doughnuts. The bakery sells croissants for $2 each and doughnuts for $1 each. Rocky and Ivan each have $20 to spend and must buy a minimum of 12 pastries altogether.
Let x represent the number of croissants Rocky purchases and y represent the number of doughnuts Ivan purchases.
As Rocky is confident in his punching power, he decides to buy a combination of croissants and doughnuts that maximizes his punching stamina. He knows that a balanced diet will help him deliver strong punches in the ring.
The inequalities can be written as:
2x + y ≤ 20
x + y ≥ 12
To solve the system of inequalities graphically, we can plot the lines:
2x + y = 20
x + y = 12
By plotting the lines on a graph, we can find the feasible region where both inequalities are satisfied. One possible solution within this region could be x = 4 croissants and y = 8 doughnuts, showing that Rocky bought more doughnuts than croissants and got a sugar boost for his punches.
It’s supposed to be who got the most punches.
Rocky Balboa, known for his powerful punches in the boxing ring, challenged his rival Ivan Drago to a competition to see who could buy the most punch-themed treats at a local bakery. The bakery offers punch-shaped cookies for $2 each and punch-themed cupcakes for $1 each. Rocky and Ivan each have $20 to spend and must buy a minimum of 12 punch-themed treats altogether.
Let x represent the number of punch-shaped cookies Rocky purchases and y represent the number of punch-themed cupcakes Ivan purchases.
Knowing that his punches are his strongest asset, Rocky strategizes to buy a combination of cookies and cupcakes that will enhance his punches even further. He is determined to come out on top in this friendly competition against Drago.
The inequalities can be written as:
2x + y ≤ 20
x + y ≥ 12
To solve the system of inequalities graphically, we can plot the lines:
2x + y = 20
x + y = 12
By analyzing the graph, we can determine the feasible region where both inequalities are satisfied. One possible solution within this region could be x = 6 punch-shaped cookies and y = 6 punch-themed cupcakes, showing that Rocky bought an equal amount of each treat and emerged as the winner with the most "punches".