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Jane, who is a bicycle dealer, just put together
a shipment of two-wheel bicycles and three-wheel
tricycles. She used 50 seats and 130 wheels.
Jane needs to figure out how many bikes and
how many trikes she put together. She began
to find her solution by writing these two equations:
X is the number bikes
Y is the number trikes
X + Y = 50 (Total number of bikes and trikes
equals the 50 seats.)
2(X) + 3(Y) = 130 (Total number of wheels for
the bikes and trikes.)
Using the two equations she used substitution
to do the following:
X = 50 - Y
Therefore:
2(X)
+ 3(Y) = 130
2(50 - Y) + 3Y
= 130
100 - 2Y + 3Y = 130
100 + Y = 130
Y = 30
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