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?

you must solve this with linear equations.

i found

c+p=30
5c+1.5p=90

i got an answer of 12.86 pounds of cashews.
can anyone check if this is correct thanks

looks good to me.

LOOLOLOLOLOl

test

If a pound of coffee cost eight dollars how many ounces can be bought for $2.25

Is the following statement true or false? Justify your answer using what you know about diameters and chords.

Every diameter of a circle is a chord.

To solve this problem using linear equations, you correctly set up the system of equations as follows:

1) c + p = 30 (equation 1)
2) 5c + 1.5p = 90 (equation 2)

Where c represents the pounds of cashews and p represents the pounds of peanuts.

Now, let's solve this system of equations to find the value of c.

To eliminate p from the equations, we can multiply equation 1 by 1.5:

1.5(c + p) = 1.5(30)
1.5c + 1.5p = 45 (equation 3)

Now, subtract equation 2 from equation 3 to eliminate p:

(1.5c + 1.5p) - (5c + 1.5p) = 45 - 90
1.5c - 5c + 1.5p - 1.5p = -45

-3.5c = -45
c = -45 / -3.5
c = 12.857

So, the correct answer is approximately 12.857 pounds of cashews, or rounded to two decimal places, 12.86 pounds. Therefore, your answer of 12.86 pounds of cashews is indeed correct.