Bicycles

You're the owner of the transport's learning playground. Buy bicycles of two colors, but you've got to spend accurately 120000 CZK. The Blue bike costs 3600 CZK and the red bicycle 3200 CZK.

Final Answer:

a₁ =  4
b₁ =  33
a₂ =  12
b₂ =  24
a₃ =  20
b₃ =  15
a₄ =  28
b₄ =  6

Step-by-step explanation:

$$\begin{gathered} 120000=3600a+3200b \\ n=0,1,2,3 \\ n=0 \\ {a}_1=8\cdot n+4=8\cdot 0+4=4 \end{gathered}$$

$b_1=33-9\cdot n=33-9\cdot 0=33$

$$\begin{gathered} n=1 \\ {a}_2=8\cdot n+4=8\cdot 1+4=12 \end{gathered}$$

$b_2=33-9\cdot n=33-9\cdot 1=24$

$$\begin{gathered} n=2 \\ {a}_3=8\cdot n+4=8\cdot 2+4=20 \end{gathered}$$

$b_3=33-9\cdot n=33-9\cdot 2=15$

$$\begin{gathered} n=3 \\ {a}_4=8\cdot n+4=8\cdot 3+4=28 \end{gathered}$$

$b_4=33-9\cdot n=33-9\cdot 3=6$

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