A recipe calls for half cup of ingredient A for every 1 and two thirds cups of ingredient B. You use 4 cups of ingredient A. How many cups of ingredient B do you need
We can solve this with a proportion...............
(1/2) / (1 + 2/3) = (4) / (B ) simplify
(1/2) / ( 5/3) = 4 /(B) cross-multiply
B(1/2) = (5/3)(4)
B(1/2) = 20/3 multiply both sides by 2
B = 40/3 cups of B = 13 + 1/3 cups of B