rafaelahubner2847 rafaelahubner2847
  • 04-09-2018
  • Mathematics
contestada

How much of an alloy with 30% copper must be added to 25 pounds of a second alloy that is 20% copper to create a 27% alloy?

Respuesta :

ApusApus ApusApus
  • 13-09-2018

Let x pounds of 30% copper alloy should be added to 25 pounds of a second alloy that is 20% copper to create y pounds of a 27% alloy.

Therefore, we can frame two equations as:

[tex]x+25=y[/tex]

[tex]0.30x+0.20*25=0.27y[/tex]

Our next step is to solve this system of linear equations. We can use substitution method to solve this system.

[tex]0.30x+0.20*25=0.27(x+25)\\ 0.30x+5=0.27x+6.75\\ 0.03x=1.75\\ x=\frac{1.75}{0.03} \\ x=58.33 \text{ pounds}[/tex]

Therefore, 58.33 pounds of 30% copper alloy must be added.

Answer Link

Otras preguntas

A net force of 55 N acts due west on an object. What single force on the object produces equilibrium?
SIMPLIFY THIS EQUATION! a³ b¹⁰ ------ a² b²
Write an equation in point-slope form of the line through point p(9, -1) with slope -5.
What is the unit price for thecans
Write the balanced molecular and net ionic equations for the reaction between aluminum metal and silver nitrate. identify the oxidation and reduction half-react
Which of the following is the best example of positive peer pressure? Your friends say no to the dinner your mom cooked and suggest ordering pizza and wings in
If KL = 2x, LM = 5x, and KM = 7, what is LM?
Part b which of the isoelectronic pairs you determined above has the same electron configuration?
Which health-related activity could be effectively completed using only Internet resources?
What is the simplest form of this?