Albert baked 52 biscuits with 4 scoops of flour. With 7 scoops of flour, how many biscuits can Albert bake? Assume the relationship is directly proportional.
Question
Albert baked 52 biscuits with 4 scoops of flour. With 7 scoops of flour, how many biscuits can Albert bake? Assume the relationship is directly proportional.
Solution
Step 1: Understand the problem The problem is asking us to find out how many biscuits Albert can bake with 7 scoops of flour, given that he can bake 52 biscuits with 4 scoops of flour. The relationship is directly proportional, which means that the number of biscuits baked increases with the number of scoops of flour used.
Step 2: Set up a proportion We know that 4 scoops of flour yields 52 biscuits. We can set this up as a ratio: 4 scoops / 52 biscuits. We want to find out how many biscuits 7 scoops of flour will yield, so we can set up a proportion: 4/52 = 7/x.
Step 3: Solve the proportion To solve for x, we can cross-multiply: 4x = 752.
Step 4: Solve for x 4x = 364, so x = 364 / 4 = 91.
So, Albert can bake 91 biscuits with 7 scoops of flour.
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