A recipe for a fruit shake calls for 5 parts milk, 3 parts banana puree, and 2 parts strawberry juice. Find the quantity of each ingredient necessary to make an 8 ounce shake.

5 + 3 + 2 = 10

5/10 or 1/2 is milk
3/10 is banana
2/10 is strawberry

1/2 times 8 = 4 oz milk
3/10 times 8 = 24/10 or 2.4 oz banana
2/10 times 8 = 16/10 or 1.6 strawberry

check: 4 + 2.4 + 1.6 = 8 oz.

To find the quantities of each ingredient necessary to make an 8-ounce shake, we need to determine the amount of each ingredient relative to the total number of parts.

The total number of parts in the recipe is: 5 + 3 + 2 = 10

To find the quantity of each ingredient, we need to divide the total number of parts by the number of parts specified for each ingredient and then multiply by the desired size of the shake (in this case, 8 ounces).

For the milk: 5 parts out of 10 * 8 ounces = 40/10 = 4 ounces
For the banana puree: 3 parts out of 10 * 8 ounces = 24/10 = 2.4 ounces
For the strawberry juice: 2 parts out of 10 * 8 ounces = 16/10 = 1.6 ounces

Therefore, to make an 8-ounce fruit shake, you would need 4 ounces of milk, 2.4 ounces of banana puree, and 1.6 ounces of strawberry juice.