The cost of a pack of chewing gum in a vending machine is $0.75. The cost of a bottle of juice in the same machine is $1.25. Julia has $22 to spend on chewing gum and bottles of juice for her team and she must buy seven packs of chewing gum. If b represents the number of bottles of juice, which inequality represents the maximum number of bottles she can buy?

You did not give the options.

the inequality would be

22>.75 (7) + 1.25 (b)

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this simplifies to 22 > 5.25 + 1.25 (b)

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You subtract 5.25 from both sides to get

16.75>1.25b

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Divide both sides by 1.25 to get b by itself

to get

13.4> b

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This means that she can buy at most 13 bottles because you cannot buy part of a bottle

So the equation is 13>b

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The number of bottles she can buy is at most 13

P. S Dash under greater than sign it won't let me type it