Sue baked 12 cookies with 2 scoops of flour. With 4 scoops of flour, how many cookies can Sue bake? Assume the relationship is directly proportional.
twice as much flour means twice as many cookies
as a proportion,
x/4 = 12/2
To solve this problem, we need to use the concept of direct proportionality. This means that if the number of scoops of flour increases, the number of cookies baked will also increase proportionally.
First, we need to determine the ratio of cookies to scoops of flour. In this case, we know that with 2 scoops of flour, Sue baked 12 cookies. Therefore, the ratio of cookies to scoops of flour is 12/2 = 6 cookies per scoop of flour.
Now, we can use this ratio to find out how many cookies Sue can bake with 4 scoops of flour. We multiply the number of scoops of flour (4) by the ratio of cookies to scoops of flour (6):
4 scoops of flour * 6 cookies per scoop of flour = 24 cookies
So, Sue can bake 24 cookies with 4 scoops of flour.