Nadia used 2/5 of a bag of flour to bake muffins and 1/4 of the same bag to bake cookies. The flour left over weighed 210 g more than the flour used for the cookies. How many grams of flour were in the bag originally?
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Worked Solution
Step 1: Find the total fraction of flour used for muffins and cookies.
2/5 + 1/4 = 8/20 + 5/20 = 13/20.
Step 2: Find the fraction of flour left over.
1 − 13/20 = 20/20 − 13/20 = 7/20.
Step 3: Find the difference between the leftover fraction and the cookies fraction.
Cookies fraction = 1/4 = 5/20.
7/20 − 5/20 = 2/20 = 1/10.
So 1/10 of the bag = 210 g (the leftover is 210 g MORE than the cookies portion).
Step 4: Find the total mass of flour.
1/10 of total = 210 g
Total = 210 × 10 = 2100 g.
Answer: The bag of flour contained 2100 g originally.
Correct answer: 2100 g
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