Mrs Chen bought some eggs. She used 12 of them to make tarts and 14 of the remained to make a cake. She had 9 eggs left. How many eggs did she buy?

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Georgia Ingram · Accepted Answer

Step 1  We can work through this question, by using only fractions.  Mrs Chen used 12 of the eggs.  This means she has 12 of the eggs left.  She uses another 14 of the 12 that are left  14×12=18  Together she has used:  12+18  =48+18=58  If 58 have been used, it means that 88−58=38 is left   38 of the total number of eggs is 9 eggs  18 of the total is 9÷3=3 eggs  88 is the total number of eggs 3×8=24 eggs  Check:  12×24=12 eggs used. 12 eggs are left  14×12=3 more eggs are used.  12−3=9 eggs are left from the 24.

eris0cg · Accepted Answer

Step 1 First use →12 Second use →14remainder→14×12=18 Total use is: 12+18→[12×44]+18=58 Therefore not used is: 1−58=38total count But not used is 9 eggs ⇒38total count=9egg Step 2 But we need 1 of total count. Not 38 of it. Thus we need to change the 38 into 1 Multiply both sides by 83 Note that this is where the shortcut method of cross multiply comes from. 83×[38×total count]=83×[9eggs] 33×88×total count=8×93 eggs 1×1×total count=723eggs Note that 1×total count is the same as total count total count=24eggs

Mrs Chen bought some eggs. She used \frac{1}{2} of them

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