Step-by-step explanation:Sure! Let's break it down: I. UnderstandA. Given Facts:1. Liza initially has 15 3/4 dozens of roses.2. After some time, 2 1/3 dozens are left unsold.B. Asked:- How many dozens of roses were sold? II. PlanA. Process:- To find the number of dozens sold, subtract the remaining dozens from the initial total.B. Equation:Dozens sold = Initial dozens - Remaining dozensIII. SolveA. Step 1: Convert mixed numbers to improper fractions:- [tex]convert \: 15 \frac{3}{4} [/tex][tex]15 \frac{3}{4} = \frac{15 \times 4 + 3}{4} = \frac{60 + 3}{4} = \frac{63}{4} [/tex][tex]convert \: 2 \frac{1}{3} [/tex][tex]2 \frac{1}{3} = \frac{2 \times 1 + 3}{3} = \frac{6 + 1}{3} = \frac{7}{3} [/tex]B. Step 2: Subtract the remaining dozens from the initial dozens.To subtract, find a common denominator (which is 12 in this case).[tex]convert \: \frac{63}{4} to \: a \: fraction \: with \: a \: denominator \: of \: 12[/tex][tex] \frac{63}{4} = \frac{63 \times 3}{4 \times 3} = \frac{189}{12} [/tex][tex]convert \: \frac{7}{3} with \: a \: denomintor \: of \: 12[/tex][tex] \frac{7}{3} = \frac{7 \times 4}{3 \times 4} = \frac{28}{12} [/tex][tex] \frac{189}{12} - \frac{28}{12} = \frac{161}{12} [/tex]So, the number of dozens of roses sold is [tex] \frac{161}{12} or \: \frac{5}{12} [/tex]
Answer:I. Understand - A. Given Facts: - Liza had 15 3/4 dozens of roses to sell.- After several hours, she had 2 1/3 dozens of roses left unsold.- B. Asked: - How many dozens of roses were sold? II. Plan - A. Process: - Subtract the number of roses left unsold from the original number of roses to find the number of roses sold.- B. Equation: - Total roses - Unsold roses = Sold roses- 15 3/4 - 2 1/3 = Sold roses III. Solve - A. Step 1: - Convert the mixed numbers to improper fractions:- 15 3/4 = (15 * 4 + 3) / 4 = 63/4- 2 1/3 = (2 * 3 + 1) / 3 = 7/3- B. Step 2: - Subtract the fractions. To subtract fractions, they need to have the same denominator. Find the least common multiple (LCM) of 4 and 3, which is 12.- (63/4) * (3/3) = 189/12- (7/3) * (4/4) = 28/12- 189/12 - 28/12 = 161/12- C. Step 3: - Convert the improper fraction back to a mixed number:- 161/12 = 13 5/12 Answer: Liza sold 13 5/12 dozens of roses.Step-by-step explanation:Pa brainliest na lng po thank you po