The flower peddler has red flowers with five petals each and white flowers with eight petals each. He has a total of 11 flowers with a total of 70 petals. How many re fowers are there and how many white flowers? A. 6 red flowers and 5 white flowers B. 7 red flowers and 4 white flowers C. 5 red flowers and 6 white flowers D. 8 red flowers and 3 white flowers
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Let the number of red flowers be \( r \) and the number of white flowers be \( w \). We have the following equations based on the problem: 1. \( r + w = 11 \) (total flowers) 2. \( 5r + 8w = 70 \) (total petals) We can solve these equations. From the first equation, we can express \( w \) in terms of \( r \): \( w = 11 - r \). Now, substitute \( w \) into the second equation: \( 5r + 8(11 - r) = 70 \). Simplifying gives: \( 5r + 88 - 8r = 70 \) \( -3r + 88 = 70 \) \( -3r = -18 \) \( r = 6 \). Now substitute \( r \) back to find \( w \): \( w = 11 - 6 = 5 \). So, there are 6 red flowers and 5 white flowers! A. 6 red flowers and 5 white flowers.