SOLUTION: Can you help me solve this word problem Anita is 4 ½ years older than Basilio. Three times Anita’s age added to six times Basilio’s age is 36. How old are Anita and Basilio?

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Can you help me solve this word problem Anita is 4 ½ years older than Basilio. Three times Anita’s age added to six times Basilio’s age is 36. How old are Anita and Basilio?       Log On


   

Question 940134: Can you help me solve this word problem
Anita is 4 ½ years older than Basilio. Three times Anita’s age added to six times Basilio’s
age is 36. How old are Anita and Basilio?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let Anita’s age be A and Basilio’s age be B
if Anita is ...........eq.1
if three times Anita’s age (or 3A) added to six times Basilio’s age (or 6B) is 36, then we have:
3A%2B6B=36.....eq.2...substitute B%2B4.5 for A from eq.1
3%28B%2B4.5%29%2B6B=36.......solve for B
3B%2B13.5%2B6B=36
9B=36-13.5
9B=22.5
B=22.5%2F9
highlight%28B=2.5%29 or highlight%28B=2%281%2F2%29%29
go to A=B%2B4.5 ...........eq.1 plug in B
A=2.5%2B4.5
highlight%28A=7%29
so, Anita is 7 years old, and Basilio is 21%2F2 years old