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Question
The given table shows the number of rose and daffodil bouquets, of different sizes, a florist needs to make. A small bouquet must have 6 flowers and a large one must have 9 flowers. Which flowers will the florist require more of and by how many?
Number of rose bouquetsNumber of daffodil bouquetsSmall bouquet1117Large bouquet1812
The given table shows the number of rose and daffodil bouquets, of different sizes, a florist needs to make. A small bouquet must have 6 flowers and a large one must have 9 flowers. Which flowers will the florist require more of and by how many?
Number of rose bouquetsNumber of daffodil bouquetsSmall bouquet1117Large bouquet1812
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Solution
The correct option is A Daffodils, 18
Number of flowers in a small bouquet = 6
Number of flowers in a large bouquet = 9
Number of rosesNumber of daffodilsSmall bouquet11×6=6617×6=102Large bouquet18×9=16212×9=108
Total number of roses required for 11 small bouquets. 11 × 6 = 66
Total number of daffodils required for 17 small bouquets. 17 × 6 = 102
Total number of roses required for 18 large bouquets. 18 × 9 = 162
Total number of daffodils required for 12 large bouquets. 12 × 9 = 108
Total number of roses required for rose bouquets = number of roses required for small bouquets + number of roses required for large bouquets
Total number of daffodils required for daffodil bouquets = number of daffodils required for small bouquets + number of daffodils required for large bouquets = 102 + 108 = 210
228 > 210
228 - 210 = 18
Hence, the florist will require 18 more roses than daffodils to make the required number of small and large bouquets.
Number of flowers in a small bouquet = 6
Number of flowers in a large bouquet = 9
Number of rosesNumber of daffodilsSmall bouquet11×6=6617×6=102Large bouquet18×9=16212×9=108
Total number of roses required for 11 small bouquets. 11 × 6 = 66
Total number of daffodils required for 17 small bouquets. 17 × 6 = 102
Total number of roses required for 18 large bouquets. 18 × 9 = 162
Total number of daffodils required for 12 large bouquets. 12 × 9 = 108
Total number of roses required for rose bouquets = number of roses required for small bouquets + number of roses required for large bouquets
Total number of daffodils required for daffodil bouquets = number of daffodils required for small bouquets + number of daffodils required for large bouquets = 102 + 108 = 210
228 > 210
228 - 210 = 18
Hence, the florist will require 18 more roses than daffodils to make the required number of small and large bouquets.
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