Answer:
A. 1/9 cup of flour per scone.
B. 9 scones per cup of flour.
Step-by-step explanation:
We're given that Tobias uses 2/3 cup of flour makes 6 scones.
A. The unit rate of cup of flour per scone will be the cup of flour used to make a particular number of scones divided by that number of scones. Mathematically,
U. R. = (cup of flour)/(number of scones)
U. R. = (2/3)/6= 2/(3 *6)
U. R. = 2/18 = 1/9 or 0.11 scones per cup of flour.
B. (i) Method 1
Following the same method we used in (A) above, we need to divide the number of scones by the cup of flour used to make said number of scones. Mathematically,
U. R. = (number of scones)/(cup of flour)
U. R. = 6/(2/3) = (6 * 3)/2
U. R. = (6 * 3)/2 = 18/2
U. R. = 9 scones per cup of flour.
(ii) Method 2
Let the number of scones that can be made with 1 cup of flour(Unit rate for number of scones per cup of flour) be x. Then:
2/3 cup of flour = 6 scones
1 cup of flour = x scones
By cross multiplying and solving:
x = (6 * 1) / (2/3)
x = (6 * 3) / 2
x = 18/2 = 9 scones per cup of flour.
