Question

A flying saucer with space aliens landed in my front yard! After the entire crew had filed out of their spaceship, I counted their heads and feet. I saw a total of 91 heads and 124 feet. it was clear that their leader was a purple creature with three heads and four feet. the rest of the space aliens each had two heads. the green ones had two feet and the blue ones had three feet.
How many of each type landed on my lawn?

Answer 1

@e.mccormick

Answer 2

@Hero

Answer 3

the total were a 91 heads and 124 feet.

Answer 4

there was 1 leader (purple color) having with 3 heads and 4 feets

Answer 5

so total remaining had (91-3)=88 heads and (124-4)=120 feets

Answer 6

and the rest had 2 heads so total number(except leader) with green and blue color will be

88 heads divided by 2 heads =\(\Large 44~~ heads\) as each of them had two heads

Answer 7

so the total number of green and blue aliens will be

\(\large g+b=44\)

Answer 8

now it is given that the green ones had \(2\) feet and the blue ones had \(3\) feet.

so total number of remaining feets will be


\(\large 2g+3b=120\)

Answer 9

you need help

Answer 10

\(\large \color{black}{\begin{align} \normalsize \text{yes it will be}\hspace{.33em}\\~\\
g+b=44\hspace{.33em}\\~\\
\implies 2g+2b=88\hspace{.33em}\\~\\~\\

2g+3b=120\hspace{.33em}\\~\\
\implies 2g+2b+b=120\hspace{.33em}\\~\\
\implies 88+b=120\hspace{.33em}\\~\\
b=32,g=12
\end{align}}\)

Answer 11

\(\huge \color{black}{\begin{align} \normalsize \text{so}\hspace{.33em}\\~\\
\color{purple}{\text{purple leader=1}}\hspace{.33em}\\~\\
\color{green}{\text{green aliens =12}}\hspace{.33em}\\~\\
\color{blue}{\text{blue aliens =32}}\hspace{.33em}\\~\\
\end{align}}\)

Answer 12

@mathmath333 thank you