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Josh is going to the store to buy candy. Bags of candy corn cost $3 and bags of chocolate cost $5. He needs to buy at least 20 bags of candy and he cannot spend more than $60. Write a system of linear inequalities to model the situation. (TEKS 3E)


Define the variables. (1 pt each)
Variable 1:
Variable 2:


Write the system of inequalities. (3 pts each)
Inequality 1:
Inequality 2:

Respuesta :

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Variable 1:  a = candy corn

Variable 2: b = chocolate

Inequality 1:  60 ≥ 3a + 5b

Inequality 2: 20 ≤ 3a + 5b

The inequalities are as such because Josh needs to spend no greater than $60.  He must also buy at least 20 bags of candy.  The candy corn costs $3, while the chocolate costs $5.  An expression for the total cost of the candy would be 3a + 5b.

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