2 kinds of nuts 1cost $5/kg 1cost 5.8/kg how many kg of each type r needed to make a blend of $5.50
need to learn to set up equation
We need two weights, x and y. Because we are talking about price per kilogram, those
two weights will add up to 1 kg.
x + y = 1 kg
The prices of the two together must add up to $5.50.
5x + 5.8y = 5.5
By eliminating the x, we can calculate the y. Multiply the
first equation by 5.
5 * (x + y) = 1 * 5
5x + 5y = 5
Subtract that from the second equation.
5x + 5.8y = 5.5
-(5x + 5y = 5)
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0.8y = 0.5
0.8y = 0.5
y = 0.5 / 0.8
y = 0.625 kg
Use the first equation to solve for x.
x + y = 1
x + 0.625 kg = 1 kg
x = 1 kg - 0.625 kg
x = 0.375 kg
The mix is 0.375 kg of the $5 nuts, and 0.625 kg of the $5.80 nuts.
Calculate the cost.
$5x + $5.80y = $5.50
$5(0.375) + $5.80(0.625) = $5.50
$1.875 + $3.625 = $5.50
$5.50 = $5.50