Question 49308
a stamp collection consist of 5 (F NUMBERS SAY), 13(T), and 18(E) cent stamps. The number of 13 cent stamps is one less than twice the number of 5 cent stamps. the number of 18 cent stamps is five more than the number of 13 cent stamps. the total value of all the stamps is $2.60. find the number of 13 cent stamps in collection.
TWICE  THE 5 C STAMPS=2F
ONE LESS=2F-1=T......2F=T+1.....F=(T+1)/2=0.5(T+1).............I
5 MORE THAN 13 C STAMPS =T+5=E.........................II
VALUE OF 5 C STAMPS=5F
.........13........=13T
.........18........=18E
TOTAL VALUE=5F+13T+18E=260......................III
5*0.5(T+1)+13T+18(T+5)=260
2.5T+2.5+13T+18T+90=260
33.5T=260-90-2.5=167.5
T=167.5/33.5=5
NUMBER OF 13 C STAMPS =5