2009年4月28日 星期二

Mathematics

Now I am learning Linear Equations in Two Unknows
for emample:
In a bag of 3600g of organes and apples, each organe weights 300g and each apple weighs 225g.
Let x and y be the number of organes and apples respectively, set up an equation in x and y.
(a)Weigh of all oranges= 300x g
Weight of all apples = 225y g
∴300 x +225y = 3600
4x+3y=48 ←Divide both side by 75 to simplify the equation.
(b)For the equcation4x+3y = 48, subsitute x=3 into the equcation,
4(3)+3y=48
3y=36
y=12
Substitute y =8 into the equation,
4x+3(8)=48
4x=24
x=6
Substitute x=9 into the equation,
4(9)+3y=48
3y=12
y=4
∴Number of oranges and apples required:
3 oranges and 12 apples, 6 oranges and 8 apples, 9 oranges and 4 apples.

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