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Question

A bouquet has 12 red roses and 9 yellow roses. How many roses are there in 56 such bouquets?


A
1,232 roses
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B
1,176 roses
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C
1,435 roses
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D
1,928 roses
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Solution

The correct option is B 1,176 roses
Number of red roses = 12
Number of yellow roses = 9

∴ Number of roses in 1 bouquet
= 12 + 9 = 21

So, total number of roses in 56 bouquets = 21 × 56

Let us solve this using lattice algorithm method.

So, we first make a table of 2 columns and 2 rows because both 21 and 56 are 2-digit numbers.

After making the table, we extend the diagonals and write 2 and 1 at the top of each column and 5 and 6 against each row.


Now, we multiply the digits in the corresponding rows and columns and write them on each side of the diagonal line.


At last, we add digits diagonally. If the summation is more than 1-digit, we regroup other digits with the next diagonal to the left.


For the final answer, we write the digits from left to right, that is, 1,176.

Hence, there are 1,176 roses in total.

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