There are some flowers along the corridor, arranged in the following order: $3$ red flowers, $2$ yellow flowers, $2$ pink flowers$\cdots$  If there are $100$ flowers altogether, how many red flowers are there altogether? ． 
Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems
$$3+2+2=7$$;  $100\div7=14R2$;  $$14$$$\times$$$3$$+$$2$$=$$44$$. 