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Rehna used 
(1)/(6) of a packet of flour to make some muffins and 
(1)/(4) of it to make a cake she used the remainder to make some cupcakes. She used 
(1)/(12) of the packet of flour or each cupcake. How many cupcakes did she make?

Rehna used 16 \frac{1}{6} of a packet of flour to make some muffins and 14 \frac{1}{4} of it to make a cake she used the remainder to make some cupcakes. She used 112 \frac{1}{12} of the packet of flour or each cupcake. How many cupcakes did she make?

Full solution

Q. Rehna used 16 \frac{1}{6} of a packet of flour to make some muffins and 14 \frac{1}{4} of it to make a cake she used the remainder to make some cupcakes. She used 112 \frac{1}{12} of the packet of flour or each cupcake. How many cupcakes did she make?
  1. Calculate Total Flour Used: Calculate the total amount of flour used for muffins and cake.\newlineRehna used 16\frac{1}{6} of the packet for muffins and 14\frac{1}{4} of the packet for the cake. To find the total amount used, we add these two fractions together.\newline16+14=(212)+(312)=512\frac{1}{6} + \frac{1}{4} = \left(\frac{2}{12}\right) + \left(\frac{3}{12}\right) = \frac{5}{12}
  2. Determine Remaining Flour: Determine the amount of flour left for cupcakes.\newlineSince Rehna used 512\frac{5}{12} of the packet for muffins and cake, the remainder of the flour packet is 15121 - \frac{5}{12}.\newline1512=1212512=7121 - \frac{5}{12} = \frac{12}{12} - \frac{5}{12} = \frac{7}{12}\newlineThis is the amount of flour left for cupcakes.
  3. Calculate Cupcakes Quantity: Calculate the number of cupcakes Rehna can make with the remainder of the flour.\newlineRehna uses 112\frac{1}{12} of the packet for each cupcake. To find out how many cupcakes she can make with 712\frac{7}{12} of the packet, we divide the remainder by the amount used for each cupcake.\newline(712)/(112)=712×121=7(\frac{7}{12}) / (\frac{1}{12}) = \frac{7}{12} \times \frac{12}{1} = 7

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