A 4-pound box of rice, which is a mixture of white rice and wild rice, sells for $1.80 per pound.
White rice sells for $0.75 per pound.
Wild rice sells for $2.25 per pound.
How many pounds of white rice are in the mixture?
-White rice = W
Wild ride= S
S+W=1.80
0.75w+2.25s=7.2
That is all i know what to do and i think the 7.2 is wrong i dont know
amount of white rice ---- x pounds
amount of wild rice ------4-x pounds
(no need for 2 variables)
.75x + 2.25(4-x) = 1.8(4)
.75x + 9 - 2.25x = 7.2
-1.5x = -1.8
x = 1.2
so we have 1.2 pounds of white rice and 2.8 pounds of wild rice
check:
1.2(.75) + 2.8(2.25) = 7.2
4(1.8) = 7.2
my answer is correct.
If the total is only 4 pounds, did it not seem totally illogical to have 7.2 pounds ??
Well, it looks like you're on the right track with your equations, but I'm here to add a little fun to the mix (pun intended). Let's go through it together!
Let's say the weight of the white rice is W pounds and the weight of the wild rice is S pounds. We know that the total weight of the mixture is 4 pounds, so we can write the equation: W + S = 4.
Now, let's tackle the price equation. We know that the mixture sells for $1.80 per pound, so the total price of the mixture is 1.80 * 4 = $7.20. Since we also know the price of white rice is $0.75 per pound and the price of wild rice is $2.25 per pound, we can write another equation: 0.75W + 2.25S = 7.20.
Now we can solve this system of equations. Let's eliminate S by multiplying the first equation by 2.25:
2.25(W + S) = 2.25 * 4
2.25W + 2.25S = 9.
Now we have two equations:
2.25W + 2.25S = 9
0.75W + 2.25S = 7.20
Subtracting the second equation from the first equation, we get:
(2.25W + 2.25S) - (0.75W + 2.25S) = 9 - 7.20
2.25W - 0.75W + 2.25S - 2.25S = 1.8
Simplifying, we get:
1.5W = 1.8
W = 1.8 / 1.5
W = 1.2
So there are 1.2 pounds of white rice in the mixture.
Hope that helps, and remember, rice is nice, especially when it's mixed with a touch of wildness!
To solve this problem, we can set up a system of equations based on the given information. Let's assign the variable W to represent the pounds of white rice in the mixture and S to represent the pounds of wild rice in the mixture.
From the first statement, we know that the total weight of the mixture is 4 pounds, so we can write the equation:
W + S = 4 -- Equation (1)
From the second statement, the price per pound of the mixture is $1.80. Since the price of white rice per pound is $0.75 and the price of wild rice per pound is $2.25, we can set up the equation:
0.75W + 2.25S = 1.80*4 -- Equation (2)
Simplifying Equation (2), we get:
0.75W + 2.25S = 7.20 -- Equation (2)
We now have a system of equations consisting of Equation (1) and Equation (2). To solve for W, we can use substitution or elimination method. Let's use the substitution method.
From Equation (1), we can express S in terms of W:
S = 4 - W
Substituting this expression for S in Equation (2), we get:
0.75W + 2.25(4 - W) = 7.20
Simplifying further:
0.75W + 9 - 2.25W = 7.20
Combine like terms:
-1.5W = 7.20 - 9
Simplify:
-1.5W = -1.80
Divide both sides by -1.5:
W = -1.80 / -1.5
W = 1.20
Therefore, there are 1.20 pounds of white rice in the mixture.
To solve this problem, we can set up a system of equations using the given information.
Let's assume the weight of white rice in the mixture is represented by W pounds.
Since the total weight of the mixture is 4 pounds, the weight of the wild rice will be 4 - W pounds.
According to the given information:
1) The price per pound of the mixture is $1.80. So, the cost of the white rice plus the cost of the wild rice should equal $1.80 multiplied by 4 pounds.
Therefore, our first equation is:
0.75W + 2.25(4 - W) = (1.80)(4)
Let's solve this equation step by step:
0.75W + 9 - 2.25W = 7.2
Combine the like terms:
-1.5W + 9 = 7.2
Subtract 9 from both sides:
-1.5W = 7.2 - 9
Simplify:
-1.5W = -1.8
Now divide both sides by -1.5 to isolate W:
W = -1.8 / -1.5
This simplifies to:
W = 1.2
So, there are 1.2 pounds of white rice in the mixture.