Asked by Shay
If x pounds of cashews valued at $6.00 per pound are to be mixed with y pounds of peanuts valued at $4.00 per pound to obtain a 40 pound cashew-peanut mixture.
Find x and y so that when the mix is sold for $4.75 per pound, the same amount of revenue
is collected from the sale of the mix as would have been collected from the sale of each type of nut individually. Set up an appropriate system of linear equations and solve it to determine x and y.
Find x and y so that when the mix is sold for $4.75 per pound, the same amount of revenue
is collected from the sale of the mix as would have been collected from the sale of each type of nut individually. Set up an appropriate system of linear equations and solve it to determine x and y.
Answers
Answered by
Reiny
obvious first equation:
x + y = 40
2nd equation deals with value of the nuts
6x + 4y = 4.75(40)
6x + 4y = 190
3x + 2y = 95 **
double the first one: 2x + 2y = 80 ***
subtract *** from **
x = 15
in your head looking at x+y = 40
y = 25
check:
6(15) + 4(25) = 190
4.75(40) = 190
x + y = 40
2nd equation deals with value of the nuts
6x + 4y = 4.75(40)
6x + 4y = 190
3x + 2y = 95 **
double the first one: 2x + 2y = 80 ***
subtract *** from **
x = 15
in your head looking at x+y = 40
y = 25
check:
6(15) + 4(25) = 190
4.75(40) = 190
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.