Vijay baked 36 biscuits with 6 scoops of flour. How many scoops of flour does Vijay need in order to bake 42 biscuits? Assume the relationship is directly proportional
Question
Vijay baked 36 biscuits with 6 scoops of flour. How many scoops of flour does Vijay need in order to bake 42 biscuits? Assume the relationship is directly proportional
Solution 1
Step 1: Understand the relationship. In this case, the number of biscuits is directly proportional to the number of scoops of flour. This means that the more biscuits Vijay wants to bake, the more scoops of flour he will need.
Step 2: Find the ratio of biscuits to scoops of flour. In the given scenario, Vijay uses 6 scoops of flour to bake 36 biscuits. So, the ratio is 36 biscuits / 6 scoops = 6 biscuits per scoop.
Step 3: Use the ratio to find out how many scoops of flour are needed to bake 42 biscuits. If 6 biscuits require 1 scoop of flour, then 42 biscuits will require 42 / 6 = 7 scoops of flour.
So, Vijay needs 7 scoops of flour to bake 42 biscuits.
Solution 2
Step 1: Understand the problem. The problem is asking how many scoops of flour Vijay needs to bake 42 biscuits, given that he used 6 scoops of flour to bake 36 biscuits.
Step 2: Identify the relationship. The problem states that the relationship between the number of biscuits and the amount of flour used is directly proportional. This means that as the number of biscuits increases, the amount of flour used also increases at the same rate.
Step 3: Set up a proportion to solve the problem. We know that 6 scoops of flour yields 36 biscuits, so we can set up the following proportion: 6/36 = x/42, where x is the unknown amount of flour needed to bake 42 biscuits.
Step 4: Solve for x. Cross-multiply to solve the equation: 642 = 36x. This simplifies to 252 = 36x.
Step 5: Divide both sides of the equation by 36 to solve for x: x = 252/36 = 7.
So, Vijay needs 7 scoops of flour to bake 42 biscuits.
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