A woman plans to buy some bottles of alcohol, a bottle of Heineken goes for $800 while that of monster drink $250. she doesn't have more than $3500 and her crate cannot hold more than 32 bottles. Write down the inequalities that must be satisfied.​

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Answer:

The inequalities that must be satisfied is

[tex]x + y \leq 32[/tex]

[tex]x(800) + y(250) \leq 3500[/tex]

Step-by-step explanation:

Let the number of  Heineken bottles be x

Let the number of  monster drink bottles be y

Her crate cannot hold more than 32, This situation can be represented as

[tex]\text{Number of Heineken bottles + number of monster drink bottles } \leq 32[/tex]

That is

[tex]x + y \leq 32[/tex] ------------------------(1)

Cost of one Heineken bottles = $800

Cost of one  monster drink bottles = $250

then

[tex]x \times \text{cost of one Heineken bottle } + y \times \text{ cost of one monster drink bottle} \leq 3500[/tex]x

[tex]x(800) + y(250) \leq 3500[/tex]------------------(2)

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