i have two piece of ribbon one is 17.5cm longer than the other and 1/3 of one ribbon is the same as 3/4 of the other what is the size of the smaller ribbon

2 answers

(1/3) long , x = (3/4) short , y
x = y + 17.5
(y+17.5)/3 = 3 y/4

4 y + 70 = 9 y
5 y = 70
y = 14
L is longer ribbong length, S is shorter ribbon length

L-17.5=S
L/3=3S/4
L= 9S/4

9S/4 -17.5=S
S(9/4-4/4)=17.5
S= 4*17.5/5=14 inches