A chef uses a recipe with the following ingredients. Then the chef decides to make more than 1 batch of the recipe. Fruit Cups Used Apples 3 Mangoes 1 Blueberries 2 Blackberries 1 If a total of 16 cups of apples and blackberries are used, how many batches of the recipe did the chef make? 2 batches 4 batches 6 batches 8 batches

Answer:4 batchesStep-by-step explanation:Letx -----> the number of cups of applesy -----> the number of cups of mangoesz -----> the number of cups of Blueberriesw -----> the number of cups of Blackberrieswe know thatx/y=3/1 -----> equation Ax/z=3/2 ----> equation Bx/w=3/1 ----> equation Cx+w=16 ----> equation DSolve the system of equations C and Dx=3w ----> equation Cx+w=16 ----> equation DSubstitute equation C in equation d and solve for w3w+w=164w=16w=4 cups of BlackberriesRemember thatFor 1 batch of the recipe are used 1 cup of BlackberriessoFor 4 cups of BlackberriesThe number of batches are(1)*4=4 batches