A Chemist Has Two Alloys, One of Which Is 10

question 30

Multiple Choice

A chemist has two alloys, one of which is 10% gold and 20% lead, and the other of which is 30% gold and 40% lead. How many grams of each of the two alloys should be used to make an alloy that contains 65 g of gold and 118 g of lead?

• A) First alloy: 60 g; second alloy: 470 g
• B) First alloy: 470 g; second alloy: 62 g
• C) First alloy: 472 g; second alloy: 60 g
• D) First alloy: 470 g; second alloy: 60 g
• E) None of the above

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Definitions:

Flow

A mental state in which a person performing an activity is fully immersed in a feeling of energized focus, full involvement, and enjoyment.

External Rewards

Incentives provided by external factors, such as money, praise, or trophies, which motivate behavior.

Focused Concentration

The mental effort directed toward a single task or subject, eliminating distractions to achieve a heightened state of awareness and productivity.

Csikszentmihalyi

A psychologist known for his work on the concept of "flow," a state of intense absorption and enjoyment in what one does.