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If Simon gave 30% of his sweets to Terry they will have the same number of sweets.
If Simon gave 250 sweets to Terry, Terry will 80% more sweets than Simon.
How many sweets does Simon have.
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x = # of Simon' sweets;
y = # of Terry' sweets.
From the problem, we have two equations.
First equation is
(1-0.3)x = y + 0.3x (first statement),
which simplifies to
0.7x = y + 0.3x ---> 0.7x - 0.3x = y ---> 0.4x = y.
Second equation is
x - 250 = = (y + 250) - 0.8*(x-250) (second statement),
which simplifies to
x - 250 = y + 250 - 0.8x + 200,
x - 250 - 250 - 200 = y - 0.8x
x - 700 = y - 0.8x
y = 1.8x - 700.
So, we have this system of two equations
y = 0.4x (1)
y = 1.8x - 700 (2)
Equations (1) and (2) have left sides identical, so their right sides are equal
0.4x = 1.8x - 700
700 = 1.4x
x = 700/1.4 = 500.
Thus Simon has 500 sweets.
From equation (1), Terry has 0.4*x = 0.4*500 = 200 sweets.
ANSWER. Simon has 500 sweets.
Solved.