Aruna cut a cake into two halves and cuts one half into smaller pieces of equal size. Each of the small pieces is twenty grams in weight. If she has seven pieces of the cake in all with her, how heavy was the original cake?

120

grams

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140

grams

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240

grams

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280

grams

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None of these

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Solution

The correct option is B $240$ grams
The seven pieces consist of $6$ smaller equal pieces and one half cake piece.
Weight of each small piece $= 20 g$ .
So, total weight of the cake $= [2 \times (20 \times 6)] g = 240 g$ .

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A cake is cut into two equal parts and each part is again cut into two equal halves and it continues in that way. How many times should one cut the cake so that the number of pieces will be 32? [3 MARKS]

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Aruna cut a cake into two halves and cuts one half into smaller pieces of equal size. Each of the small pieces is twenty grams in weight. If she has seven pieces of the cake in all with her, how heavy was the original cake?

The correct option is B 240 gramsThe seven pieces consist of 6 smaller equal pieces and one half cake piece.Weight of each small piece =20g.So, total weight of the cake =[2×(20×6)]g=240g.

The correct option is B $240$ grams
The seven pieces consist of $6$ smaller equal pieces and one half cake piece.
Weight of each small piece $= 20 g$ .
So, total weight of the cake $= [2 \times (20 \times 6)] g = 240 g$ .