A chemist mixes different solutions. By weight, she mixes 30% of a sample of substitute A and 60% of a sample of substitute B to create substitute C. If she initially had 90 grams of substitute A and 120 grams of substitute B, then what would be the weight, in grams, of substitute C?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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A chemist mixes different solutions. By weight, she mixes 30% of a sample of
substitute A and 60% of a sample of substitute B to create substitute C. If she
initially had 90 grams of substitute A and 120 grams of substitute B, then what
would be the weight, in grams, of substitute C?
Transcribed Image Text:A chemist mixes different solutions. By weight, she mixes 30% of a sample of substitute A and 60% of a sample of substitute B to create substitute C. If she initially had 90 grams of substitute A and 120 grams of substitute B, then what would be the weight, in grams, of substitute C?
Medical residents at a hospital are choosing their individual specialties. Among
them, 30% choose cardiology, 18% choose oncology, 32% choose endocrinology,
and the remaining x% choose hematology. Once the doctors pick their first
specialty, they are then each asked to choose a second specialty from the previous
four options in case their original specialty is already filled. They may not pick
their original specialty again. 20% of those who originally picked cardiology
choose oncology as their second choice. If no other field chooses oncology as their
second choice, and the hospital boasts 150 medical residents, then what is the total
number of residents who named oncology as either their first or second choice, in
terms of x?
Transcribed Image Text:Medical residents at a hospital are choosing their individual specialties. Among them, 30% choose cardiology, 18% choose oncology, 32% choose endocrinology, and the remaining x% choose hematology. Once the doctors pick their first specialty, they are then each asked to choose a second specialty from the previous four options in case their original specialty is already filled. They may not pick their original specialty again. 20% of those who originally picked cardiology choose oncology as their second choice. If no other field chooses oncology as their second choice, and the hospital boasts 150 medical residents, then what is the total number of residents who named oncology as either their first or second choice, in terms of x?
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