Problem 2 · 2014 Math Kangaroo
Easy
Arithmetic & Operations
total-then-divide
A cake weighs 900 g. Paul cuts it into 4 pieces. The biggest piece weighs exactly as much as the other three pieces together. How much does the biggest piece weigh?
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Answer: D — 450 g
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Hint 1 of 2
The biggest piece equals all the other pieces put together, so it is one of two equal halves of the cake.
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Hint 2 of 2
Half of the whole cake is the biggest piece.
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Approach: the biggest piece is half the cake
- If the biggest piece weighs as much as the other three together, then those two parts are equal halves of the cake.
- So the biggest piece is half of 900 g.
- Half of 900 g is 450 g.
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