Final answer:
To determine the part of the total number of flowers that are tulips, we find the sum of the fractions of roses and violets and subtract from 1. The flowers are 7/20 roses and 8/15 violets, leaving 7/60 as tulips after calculations.
Step-by-step explanation:
Let's determine what part of the total number of flowers in the florist's store are tulips. Since 7/20 of the flowers are roses and 8/15 of the flowers are violets, we first need to calculate the fraction of the store's flowers that these two types make up together.
The Least Common Denominator (LCD) for 20 and 15 is 60. To find out the equivalent fractions with a denominator of 60, we multiply the numerator and denominator of 7/20 by 3 to get 21/60, and we multiply the numerator and denominator of 8/15 by 4 to get 32/60. Adding these two fractions, we get 21/60 + 32/60, which equals 53/60.
Since all flowers in the store are either roses, violets, or tulips, the remaining flowers must be tulips. Subtracting the fraction of roses and violets from the total, we get 1 - 53/60 = 7/60. This fraction cannot be simplified any further, so 7/60 is the fraction of the total flowers that are tulips. However, this answer is not listed in the provided options, suggesting there might be a mistake in the question or the options given.
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