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2022 Math Kangaroo

Problem 2

Problem 2 · 2022 Math Kangaroo Easy
Algebra & Patterns substitution

A sandwich and a juice cost 12 Euros together. A sandwich and two juices cost 14 Euros together. How many Euros does one juice cost?

Figure for Math Kangaroo 2022 Problem 2
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Answer: B — 2
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Hint 1 of 2
Compare the two purchases: what is the only difference between them?
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Hint 2 of 2
Both include one sandwich, so the extra cost comes from one extra juice.
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Approach: compare the two totals
  1. Sandwich + juice = 12; sandwich + two juices = 14.
  2. The second has exactly one extra juice yet costs 2 more.
  3. So one juice costs 2 Euros.
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