Elijah bought a total of pounds of peanuts and cashew nuts and paid $49.50. If peanuts cost $2.75 per pound and cashew nuts cost $3.25 per pound, how many ponds of cashew nuts did he buy

11 pounds of cashew nuts

Step-by-step explanation:

To solve this problem, we call:

p = number of pounds of peanuts bought

n = number of pounds of cashew nuts bought

We also know that:

- Each pound of peanuts costs $2.75, so the cost of p pounds of peanuts is

- Each pound of cashew nuts costs $3.25, so the cost of n pounds of cashew nuts is

So the total cost, which in this case is $49.50, can be written as:

(1)

We also know that the total number of pounds is 16, so:

(2)

From this equation we get

And substituting into (1), we find n:

So, 11 pounds of cashew nuts.

is there a picture

step-by-step explanation:

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w