Achef 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

4 batches

Step-by-step explanation:

Let

x > the number of cups of apples

y > the number of cups of mangoes

z > the number of cups of Blueberries

w > the number of cups of Blackberries

we know that

x/y=3/1 > equation A

x/z=3/2 > equation B

x/w=3/1 > equation C

x+w=16 > equation D

Solve the system of equations C and D

x=3w > equation C

x+w=16 > equation D

Substitute equation C in equation d and solve for w

3w+w=16

4w=16

w=4 cups of Blackberries

Remember that

For 1 batch of the recipe are used 1 cup of Blackberries

so

For 4 cups of Blackberries

The number of batches are

(1)*4=4 batches

14

step-by-step explanation: