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2025 Math Kangaroo

Problem 6

Problem 6 · 2025 Math Kangaroo Medium
Logic & Word Problems caseworksum-constraint

The picture on the right shows the menu of a burger restaurant. The rain has washed away some of the numbers. The burgers are ordered by price. Which of the following prices was on the board?

Figure for Math Kangaroo 2025 Problem 6
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Answer: B — 5.50
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Hint 1 of 2
The prices go up from top (3.70) to bottom (6.80); use the visible last two digits.
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Hint 2 of 2
Find whole-euro values that keep the list strictly increasing and fit the shown cents.
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Approach: fit increasing prices to the visible digits
  1. Prices rise from 3.70 to 6.80, and the visible cents are .30, .60, .50, .10 going down.
  2. Because .50 is less than .60, ‘cheesy’ must jump to a higher whole euro, and similarly for ‘double’.
  3. The only increasing fit is 4.30, 4.60, 5.50, 6.10.
  4. Among the choices, 5.50 (the cheesy price) is the one that appears.
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