Question

Inequalities with Rational Numbers Practice and Problem Solving: A/B Bob has $150 in his savings account and saves $40 a month. Andrea has only $100 in her savings account but saves at the rate of $50 a month. When will Andrea have saved more than Bob

Answer 1

To find out when Andrea will have saved more money than Bob, we can set up an inequality based on their savings over time.

Let's represent the number of months as "t" (time in months).

For Bob:
Amount saved by Bob = $40 * t

For Andrea:
Amount saved by Andrea = $50 * t

We want to know when Andrea's savings will be greater than Bob's, so we can set up the following inequality:

$50t > $40t + $100

Now, we can solve for "t" (time):

$50t - $40t > $100

$10t > $100

Divide both sides by 10:

t > 10

So, Andrea will have saved more money than Bob after 10 months.