SOLUTION: ana has $300 and ojo has $1860. if ana saves $50 day and ojo spends $70 a day after how many days will they each have the same amount

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: ana has $300 and ojo has $1860. if ana saves $50 day and ojo spends $70 a day after how many days will they each have the same amount       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 935426: ana has $300 and ojo has $1860. if ana saves $50 day and ojo spends $70 a day after how many days will they each have the same amount




Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
ana starts with $300 and saves $50 per day.
ojo has $1860 and spends $70 per day.

let x be the number of days.

let y1 be the amount of money that ana will have in x days.
let y2 be the amount of money that ojo will have in x days.

the equation for ana is y1 = 300 + 50x
the equation for ojo is y2 = 1860 - 70x

they will have the same amount when y1 is equal to y2.
y1 is equal to y2 when 300 + 50x is equal to 1860 - 70x.

your equation to solve is 300 + 50x = 1860 - 70x

subtract 300 from both sides of this equation and add 70x to both sides of this equation to get:
70x + 50x = 1860 - 300
simplify to get:
120x = 1560
divide both sides of the equation by 120 to get:
x = 13

ana and ojo will have the same amount of money in 13 days.

300 + 50*13 = 950
1860 - 70*13 = 950

solution is 13 days.