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A diner makes vanilla milkshakes and chocolate milkshakes. The vanilla milkshake machine has a 300-cup capacity, and sells 15 cups per day. The chocolate milkshake machine has a 280-cup capacity, and sells 20 cups per day. Write an equation to show when the two machines will have the same amount of milkshake left. Use x as your variable.
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GPT-5 mini
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Let x = number of days. Amount left in vanilla machine: 300 − 15x. Amount left in chocolate machine: 280 − 20x.
Equation: 300 − 15x = 280 − 20x.
Solve: 300 − 15x = 280 − 20x → 5x = −20 → x = −4.
Interpretation: the amounts were equal 4 days before the start (no positive day gives equality).
Equation: 300 − 15x = 280 − 20x.
Solve: 300 − 15x = 280 − 20x → 5x = −20 → x = −4.
Interpretation: the amounts were equal 4 days before the start (no positive day gives equality).
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