5
AssignmentMultiple Select

Inequalities in the Real World

Question 5 • *Integrated Math II Full

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, and makes a profit of over $100. Which are possible numbers of sandwiches the shop could have sold? Check all that apply.

Answer
A
0 sandwiches
B
40 sandwiches
C
60 sandwiches
D
70 sandwiches
E
80 sandwiches

Explanation

The 100 drinks bring in 100 × $1.80 = $180. If the shop sells n sandwiches, its profit is $180 − $1.20n; for a profit over $100, n must be less than 66⅔. So 0, 40, and 60 sandwiches are possible, while 70 and 80 are too many.

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