Given:
Karl, Serene and Pauline have 1281 stickers altogether. Pailine had 3 times as many as Serene. Karl had 175 stickers fewer than Pauline.
Required:
We need to find that how many stickers Pauline have
Explanation:
First consider Karl as K, Serene as S and Paulie as P
so
[tex]K+S+P=1281[/tex]
now also
[tex]\begin{gathered} P=3S\Rightarrow\frac{P}{3}=S \\ and\text{ } \\ K=P-175 \end{gathered}[/tex]
Put S and K in 1st equation
[tex]\begin{gathered} P-175+\frac{P}{3}+P=1281 \\ \\ 3P-525+P+3P=3843 \\ P=624 \end{gathered}[/tex]
By P
[tex]\begin{gathered} S=\frac{P}{3}=\frac{624}{3}=208 \\ \\ and \\ K=P-175=449 \end{gathered}[/tex]
Final answer:
Pauline has 624 stickers
