Question

Roy uses 1/4 cup of batter for each muffin. Which list shows the amounts of batter he will use depending on the number of muffins he makes? A:1/4} {1/5} {1/6} {1/7} {1/8}. B: 1/4,2/4,3/4,4/4,5/4.

C: 1/4,2/8,3/12,4/16,5/20. D: 1/4,2/8,4/16,6/24,8/32.

Answer 1

I think this is one of the reducing fractions problem:

If we look at option A.{1/4} {1/5} {1/6} {1/7} {1/8}.
Here, the reduced form of all the fractions is not equal to 1/4

If we look at option B. 1/4,2/4,3/4,4/4,5/4.
Here, the reduced form of all the fractions is not equal to 1/4

if we look at option C. 1/4,2/8,3/12,4/16,5/20.
Here, the reduced form of all the fractions is not equal to 1/4

If we look at option D.1/4,2/8,4/16,6/24,8/32.
Here, the reduced form of all the fractions is equal to 1/4
i.e.
1/4 = 1/4
2/8 = 1/4
4/14 = 1/4
6/24 = 1/4
5/20 = 1/4

So, the correct answer is D.

Answer 2

Roy uses 1/4 cup for each muffin

so if Roy makes 2 muffins he will need -
`(1)/(4)+ (1)/(4) = (2)/(4)`

so to make 2 muffins he needs 2/4 cup

then to make 3 muffins he needs an additional 1/4 cup

therefore for each additional muffin he needs an additional 1/4 cup

so the list for the amount of cups he needes depending on the muffins hes making is as follows

1/4 , 2/4. 3/4 , 4/4, 5/4

so its a pattern with a difference of 1/4 cups for each muffin

the correct answer that gives this pattern is

B.1/4,2/4,3/4,4/4,5/4