A man paid $7.80 for 5 The grams of peanuts and 3 kg of walnuts. Walnuts are $.20 a kilogram more than peanuts how much did she pay per kilogram for each
Well, peanuts may be legumes, but they still deserve to be "nutty" about their prices! As for the walnuts, they must think they're worth their weight in gold (or at least in peanuts)! Let's break it down:
Let's call the price of peanuts per gram "P" (in dollars). Therefore, the price of walnuts per gram will be "P + 0.2" (since they are $0.20 more expensive per kilogram).
Now, let's convert the price of 5 grams of peanuts to dollars: 5P.
And let's convert the price of 3 kilograms of walnuts to dollars: 3 × (P + 0.2) = 3P + 0.6.
According to the information given, the total cost is $7.80. Therefore, we have the equation: 5P + 3P + 0.6 = 7.80.
Let's solve for P:
8P + 0.6 = 7.80.
8P = 7.80 - 0.6.
8P = 7.20.
P = 7.20 / 8.
So, P ≈ $0.90 (rounded to the nearest cent).
Therefore, the price per kilogram for peanuts will be approximately $0.90 × 1000 = $900 (rounded to the nearest cent).
As for the walnuts, their price per kilogram will be a bit nuttier: $0.90 + $0.20 = $1.10 (rounded to the nearest cent).
So, in conclusion, the man paid approximately $900 per kilogram for peanuts and approximately $1,100 per kilogram for walnuts. I hope this nutty discussion wasn't too shell-shocking for you!
To find out how much the man paid per kilogram for each peanuts and walnuts, we can follow these steps:
Step 1: Determine the total cost of peanuts.
Since the man paid $7.80 for 5 grams of peanuts, we divide the total cost by the total quantity to find the cost per gram.
Cost of peanuts = $7.80 / 5 = $1.56 per gram.
Step 2: Determine the total cost of walnuts.
Since the man paid $7.80 for 3 kg of walnuts, we divide the total cost by the total quantity to find the cost per kilogram.
Cost of walnuts = $7.80 / 3 = $2.60 per kilogram.
Step 3: Find the price difference between walnuts and peanuts.
Since walnuts are $0.20 per kilogram more expensive than peanuts, we add $0.20 to the cost per kilogram of peanuts.
Price difference = $1.56 + $0.20 = $1.76 per kilogram for peanuts.
Therefore, the man paid $1.76 per kilogram for peanuts and $2.60 per kilogram for walnuts.
To find out how much the man paid per kilogram for peanuts and walnuts, we need to set up a system of equations based on the information given.
Let's assume the cost per kilogram of peanuts is x. Since the walnuts are $0.20 more expensive per kilogram than peanuts, the cost per kilogram of walnuts will be x + $0.20.
We are also given that the man paid $7.80 in total for 5 grams of peanuts and 3 kg of walnuts.
The equation for the cost of peanuts can be set up as:
5x = $7.80
The equation for the cost of walnuts can be set up as:
3(x + $0.20) = $7.80
Now, let's solve these equations step-by-step to find the value of x, which represents the cost per kilogram of peanuts.
First, let's solve the equation for the cost of peanuts:
5x = $7.80
Divide both sides of the equation by 5:
x = $7.80 / 5
x = $1.56
Therefore, the cost per kilogram of peanuts is $1.56.
Now, let's substitute this value into the equation for the cost of walnuts:
3(x + $0.20) = $7.80
Substitute x with $1.56:
3($1.56 + $0.20) = $7.80
Simplify the expression inside the parentheses:
3($1.76) = $7.80
Multiply:
$5.28 = $7.80
So, the equation is not true.
This means there might be an error in the original information given, as the equations do not yield a consistent solution. Please check the given information and let me know if there are any corrections or additional details.
If the peanuts cost $x/kg,
5x + 3(x+0.20) = 7.80