The ratio of Zimba's current weight to his weight 3 years ago is 5 to 4. In pounds, what did Zimba weigh 3 years ago if he has gained 3.5 pounds since then?
3.5 pounds gained
from 4 to 5 units is change of 1 unit
3.5lb=1 unit
4 units=3 years ago
4*3.5=14
he weighed 14lb three years ago
14lb is answer
Answer:
14 pounds
Step-by-step explanation:
Let C denote Zimba's current weight and A his weight 3 years ago. We are given the ratio: \($\frac{C}{A}=\frac{5}{4}$\) as well as \($C=A+3.5$\). We substitute for C in the first equation to find: \(\[\frac{A+3.5}{A}=\frac{5}{4}.\]\) Multiplying both sides by 4A to clear denominators, we have: \(\[4A+14=5A.\]\)
Finally we subtract 4A from both sides and find \($A=\boxed{14}$\) pounds.
Hope this helped! :)