Flannery used 30 lilies and 78 roses to create six identical flower arrangements.Write an equation to describe the relationship between l, the number of lilies, and r, the number of roses. Do NOT use a mixed number.
Q. Flannery used 30 lilies and 78 roses to create six identical flower arrangements.Write an equation to describe the relationship between l, the number of lilies, and r, the number of roses. Do NOT use a mixed number.
Calculate Total Flowers: Determine the total number of lilies and roses used in the flower arrangements.Flannery used 30 lilies and 78 roses in total to create six identical flower arrangements.
Calculate Flowers per Arrangement: Calculate the number of lilies and roses in one flower arrangement.Since there are 6 identical flower arrangements, we divide the total number of lilies and roses by 6 to find the number in one arrangement.Number of lilies in one arrangement = Total lilies / Number of arrangements = 30/6=5Number of roses in one arrangement = Total roses / Number of arrangements = 78/6=13
Write Equation for Ratio: Write the equation that relates the number of lilies and roses in one flower arrangement.Let l represent the number of lilies and r represent the number of roses in one flower arrangement. Since the arrangements are identical, the ratio of lilies to roses should be the same for each arrangement.The ratio of lilies to roses is 5 lilies for every 13 roses.Therefore, the equation is rl=135.
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