Carrie and juanita are saving up to start a slime business. they need at least $125 to cover their start up costs. to earn that money, carrie decides to do sell cupcakes. she sells cupcakes for $0.50 each. juanita decides that she would like to sell homemade cards. she will be selling the cards for $2.25 each. juanita plans to make at least 35 cards. to make up the difference, juanita plans to sell no less than 3 times the number of cards juanita makes. write a set of constraints to model the problem, with x representing the number of cards and y representing the number of cupcakes.

if x represents the number of cards for $2.25 each, then the total earnings from selling x cards is $2.25x.

if   y represents the number of cupcakes for $0.50 each, then the total earnings from selling y cupcakes is $0.50y.

together they will get $(2.25x+0.50y). they need at least $125 to cover their start up costs, so

2.25x+0.50y≥125.

to make up the difference, carrie plans to sell no less than 3 times the number of cards juanita makes.this means that

3y≥x.

juanita plans to make at least 35 cards. this means that

x≥35.

therefore, the system of inequalities is

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step-by-step explanation: