A store sells cashews for $5.00 per pound and peanuts for $1.50 per pound. The manager decides to mix 30 pounds of peanuts with some cashews and sell the mixture for $3.00 per pound. How many pounds of cashews should be mixed with the peanuts so that the mixture will produce the same revenue as selling the nuts separately.
Added by John C.
Step 1
** Show more…
Show all steps
Close
Your feedback will help us improve your experience
Christopher Dzorkpata and 93 other Precalculus educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
A store sells cashews for $\$ 5.00$ per pound and peanuts for $\$ 1.50$ per pound. The manager decides to mix 30 pounds of peanuts with some cashews and sell the mixture for $\$ 3.00$ per pound. How many pounds of cashews should be mixed with the peanuts so that the mixture will produce the same revenue as selling the nuts separately?
Systems of Equations and Inequalities
Systems of Linear Equations: Substitution and Elimination
Mixing Nuts $\quad$ A store sells cashews for $\$ 5.00$ per pound and peanuts for $\$ 1.50$ per pound. The manager decides to mix 30 pounds of peanuts with some cashews and sell the mixture for $\$ 3.00$ per pound. How many pounds of cashews should be mixed with the peanuts so that the mixture will produce the same revenue as would selling the nuts separately?
A nut store normally sells cashews for $\$ 9.00$ per pound and almonds for $\$ 3.50$ per pound. But at the end of the month the almonds had not sold well, so, in order to sell 60 pounds of almonds, the manager decided to $\operatorname{mix}$ the 60 pounds of almonds with some cashews and sell the mixture for $\$ 7.50$ per pound. How many pounds of cashews should be mixed with the almonds to ensure no change in the revenue?
Equations and Inequalities
Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job Applications
Recommended Textbooks
Precalculus with Limits
Precalculus
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD