Hi this is math
How many pounds of mixed nuts selling for 4.75 dollars per pound (lb, not money) should be mixed with 10 pounds of dried fruit selling for 5.50 dollars per pound to obtain a trail mix that sells for 4.95 per pound?
I find these really hard
5500 = 495 x - 475 x + 4950
550 = 20 x
x = 27.5
x*475 + 10*550 = (x+10)*495
X=27.5 lb?
Hello!
To solve this problem, we can set up an equation based on the given information. Let's denote the unknown quantity of mixed nuts as 'x'.
The cost of the mixed nuts is $4.75 per pound, so the total cost of the mixed nuts is 4.75x dollars.
The cost of the dried fruit is $5.50 per pound, so the total cost of the dried fruit is 5.50 * 10 dollars (since we have 10 pounds).
The cost of the resulting trail mix is $4.95 per pound, so the total cost of the resulting trail mix is 4.95 * (x + 10) dollars (since we are adding 10 pounds of dried fruit to the mixed nuts).
Since the total cost of the resulting trail mix should be equal to the sum of the costs of the mixed nuts and dried fruit, we can set up the equation:
4.75x + 5.50 * 10 = 4.95 * (x + 10)
Now we can solve this equation to find the value of 'x'.
4.75x + 55 = 4.95x + 49.5
Subtract 4.75x from both sides of the equation:
55 = 0.2x + 49.5
Now, subtract 49.5 from both sides:
5.5 = 0.2x
Divide both sides by 0.2:
x = 5.5 / 0.2
Therefore, to obtain a trail mix that sells for $4.95 per pound, you should mix approximately 27.5 pounds of mixed nuts with 10 pounds of dried fruit.
I hope this explanation helps! Let me know if you have any further questions.