Question

pablito has $200 and saves $25 per week. Pedro has $1000 and spends $15 per week by buying candy. when will they have the same amount of money? how much money will each one have at this point

Answer 1

Explanation:

Let x be the number of weeks that have passed. Then the amount of money Pablito has is described by the equation 200 + 25x and the amount of money Pedro has is described by 1000 - 15x. They will have the same amount of money when the two equations are equal. We find the number of weeks by setting them equal and solving for x.

200 + 25x = 1000 - 15x

200 + 25x - 200 = 1000 - 15x - 200

25x = 800 - 15x

25x + 15x = 800 - 15x + 15x

40x = 800

40x/40 = 800/40

X = 20

So they will have the same amount of money after 20 weeks. We can find the amount by plugging 20 in for x in either of the original equations.

200 + 25x = 200 + 25(20) = 200 + 500 = 700.

So they will both have $700 when their amounts of money are equal.