Solution 83099

There are spiders and flies on the window. They have a total of 38 legs. How many spiders and flies are there if a spider has 8 legs and a fly has 6? Just give one solution.

Correct answer:

a₁ =  1
b₁ =  5
a₂ =  4
b₂ =  1

Step-by-step explanation:

$$\begin{gathered} 38=8a+6b \\ 19=4a+3b \\ {a}_1=1 \end{gathered}$$

$b_1=\frac{19-4\cdot a_1}{3}=\frac{19-4\cdot 1}{3}=5$

$$\begin{gathered} b_2=1 \\ {a}_2=\frac{19-3\cdot b_2}{4}=\frac{19-3\cdot 1}{4}=4 \end{gathered}$$

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