Question

Nico and his brother Noah each have a savings account for college. In April, Nico's account had a balance of $2,000 and he plans to deposit an additional $50 per month. At the same time, Noah's account had a balance of $1,600 and he plans to deposit $100 per month. Predict when the brothers will have the same amount in their college accounts.

Answer 1

To predict when the brothers will have the same amount in their college accounts, we can set up an equation using the information given. Let x be the number of months from April.

We know that:

Nico's account balance = $2,000 + $50x

Noah's account balance = $1,600 + $100x

We want to find when the two balances are equal, so we can set the two equations equal to each other:

$2,000 + $50x = $1,600 + $100x

Now we can solve for x. Subtracting $1,600 from both sides gives:

$400 = $50x + $100x

Now we can combine like terms:

$400 = $150x

Finally, we can solve for x by dividing both sides by 150:

x = 2.67

This means that the brothers will have the same amount in their college accounts after 2.67 months or 2 months and 2 weeks.