A sandwich shop loses $1.20 every time somebody buys a sandwich, but makes $1.80 every time somebody buys a drink. One day, the shop sells 100 drinks. Which inequality can you use to find possible numbers of sandwiches that it could sell and still make a profit of more than $100?

Let x be the number of sandwiches sold. Each of the 100 drinks earns $1.80, for drink earnings of 100(1.8). Each sandwich costs the shop $1.20, so the sandwich losses are 1.2x. For profit to be more than $100, subtract the losses from the drink earnings and require the result to exceed 100: 100(1.8) − 1.2x > 100. This is choice D.

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