A shop sells bicycles and tricycles. In total there are 77 cycles (cycles include both bicycles and tricycles) and 1919 wheels. Determine how many of each there are, if a bicycle has two wheels and a tricycle has three wheels.
1 answer:
Answer:
Let x and y be numbers of bicycles and tricycles, respectively
x
+
y
=
7 (i)
2
x
+
3
y
=
19 (ii)
Multiplying (1) by 2 gives:
2
x
+
2
y
=
14 (iii)
Subtracting (iii) from (ii) gives:
y
=
19
−
14
=
5
Substituting 5 for y in (i) gives:
x=7−5=2
Therefore there are 2 bicycles and 5 tricycles.
Step-by-step explanation:
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