An advertisement for a pineapple drink claims that the drink contains 15%pineapple juice. How much pure pineapple juice would have to be added to 8 quarts of the drink to obtain a mixture containing 50% pineapple juice?
This is a mixture problem.
Pineapple drink + pure juice = mixture
8(.15) + x = .50(8 + x)
Solve for x.
I hope this helps.
Name two numbers whose prime factorization includes the numerals 2, 3, and 5. Write the prime factorazation
To find two numbers whose prime factorization includes the numerals 2, 3, and 5, we need to look for numbers that can be formed by multiplying these prime factors together.
One such number is 60, because its prime factorization is 2 × 2 × 3 × 5. Another number is 150, which can be written as 2 × 3 × 5 × 5.
So, two numbers whose prime factorization includes the numerals 2, 3, and 5 are 60 and 150.
I hope this clarification helps.