cashew nuts sell for $21.00/kg. Brazil nuts sell for $15.00/k. A distributor sold a total of 120 kg of nuts and Brazil nuts for $2244. What mass of each type of nut was sold?
cashews --- x
brazils ---- 120-x
solve for x :
21x + 15(120-x) = 2244
so do i write the exact same thing as you wrote?
what does this mean?
cashews --- x
brazils ---- 120-x
trixie , we have the same question lol
Trixie/Kelly -- you're using the same computer so I assume you're the same person.
Please use the same name for your posts.
So what's the answer?
To solve this problem, we can set up a system of equations to represent the given information.
Let's assume x represents the mass (in kg) of cashew nuts sold and y represents the mass (in kg) of Brazil nuts sold.
From the problem statement, we know that the total mass of nuts sold is 120 kg. Therefore, we have the equation:
x + y = 120 (Equation 1)
We are also given the selling prices per kilogram for each nut. Cashew nuts sell for $21.00/kg and Brazil nuts sell for $15.00/kg.
The distributor sold the nuts for a total of $2244. Hence, we have the equation:
21x + 15y = 2244 (Equation 2)
Now we have a system of equations with two unknowns (x and y). We can solve this system to find the values of x and y.
To do this, let's solve Equation 1 for x:
x = 120 - y
We can substitute this expression for x into Equation 2:
21(120 - y) + 15y = 2244
Now we can simplify and solve for y:
2520 - 21y + 15y = 2244
-6y = 2244 - 2520
-6y = -276
y = -276 / -6
y = 46
So, the mass of Brazil nuts sold is 46 kg.
To find the mass of cashew nuts sold, we can substitute the value of y back into Equation 1:
x + 46 = 120
x = 120 - 46
x = 74
Therefore, the mass of cashew nuts sold is 74 kg.
In conclusion, 74 kg of cashew nuts and 46 kg of Brazil nuts were sold.