Two children currently have 2,535 pesos and 2,085 pesos. The first saves 265 pesos per year and the second 565 pesos per year. How long will the amounts of money be equal?

Let's set up an equation to find out when the amounts of money will be equal. We can denote the number of years it takes for the amounts to be equal as "t." The amount of money the first child saves per year is 265 pesos, and the amount saved by the second child is 565 pesos. We'll add these amounts to their initial amounts for each year: For the first child: 2535 pesos + 265 pesos/year * t years For the second child: 2085 pesos + 565 pesos/year * t years We want to find when these two amounts are equal: 2535 + 265t = 2085 + 565t Now, we can solve for t: 2535 - 2085 = 565t - 265t 450 = 300t Now, divide by 300 to find t: t = 450 / 300 t = 1.5 years So, it will take 1.5 years for the amounts of money saved by the two children to be equal.