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A baker uses 33 cups (c)(c) of flour to bake 22 loaves of bread. If 11 pound (lb)(lb) of flour is equivalent to 313c,3\frac{1}{3} c , how many loaves of bread can the baker make with a 1010 lblb - bag of flour? \newline (Round the answer to the nearest whole number.) \newline \square

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Q. A baker uses 33 cups (c)(c) of flour to bake 22 loaves of bread. If 11 pound (lb)(lb) of flour is equivalent to 313c,3\frac{1}{3} c , how many loaves of bread can the baker make with a 1010 lblb - bag of flour? \newline (Round the answer to the nearest whole number.) \newline \square
  1. Determine Flour Cups: First, we need to determine how many cups of flour are in a 10lb10 \, \text{lb} bag.\newlineWe know that 1lb1 \, \text{lb} of flour is equivalent to 31/33 \, 1/3 cups.\newlineSo, we multiply 10lb10 \, \text{lb} by 31/3cups3 \, 1/3 \, \text{cups} to find the total number of cups in a 10lb10 \, \text{lb} bag.\newlineCalculation: 10lb×31/3c=10lb×(10/3)c10 \, \text{lb} \times 3 \, 1/3\text{c} = 10 \, \text{lb} \times (10/3)\text{c}
  2. Calculate Total Cups: Now, we perform the multiplication to find the total number of cups.\newlineCalculation: 10×(103)=1003=331310 \times \left(\frac{10}{3}\right) = \frac{100}{3} = 33 \frac{1}{3} cups
  3. Find Loaves of Bread: Next, we need to find out how many loaves of bread can be made with 331333 \frac{1}{3} cups of flour.\newlineWe know that 33 cups of flour are needed for 22 loaves of bread.\newlineSo, we divide 331333 \frac{1}{3} cups by 33 cups to find the number of sets of 22 loaves we can make.\newlineCalculation: 3313c÷3c=(1003)c÷3c=(1003)÷3=100933 \frac{1}{3}c \div 3c = \left(\frac{100}{3}\right)c \div 3c = \left(\frac{100}{3}\right) \div 3 = \frac{100}{9}
  4. Calculate Sets of Loaves: Now, we calculate the number of sets of 22 loaves.\newlineCalculation: 100/911.11100/9 \approx 11.11\newlineThis means we can make approximately 11.1111.11 sets of 22 loaves of bread.
  5. Calculate Total Loaves: Since each set consists of 22 loaves, we multiply the number of sets by 22 to find the total number of loaves.\newlineCalculation: 11.11×222.2211.11 \times 2 \approx 22.22 loaves
  6. Round to Nearest Whole: We need to round the number of loaves to the nearest whole number, as the question prompt asks for this.\newlineCalculation: 22.2222.22 loaves rounded to the nearest whole number is 2222 loaves.

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