Final answer:
Becky's mom has enough money to buy both the TV and the DVD player even after purchasing groceries. The total cost of the TV and DVD player is $1,800, and after buying $150 worth of groceries from her $2,000 budget, she will still have $1,850 remaining.
Step-by-step explanation:
Becky's mom has a classic budget problem, similar to what many consumers face. She needs to allocate her limited income to cover her needs and wants. Initially, Becky's mom has $2,000 to spend.
First, let's calculate the total cost of the TV and DVD player she wishes to purchase:
- TV: $1,500
- DVD player: $300
Adding these together gives us:
$1,500 + $300 = $1,800.
Next, we need to account for the groceries:
If she buys the groceries, her remaining budget will be:
$2,000 - $150 = $1,850.
This amount is more than enough to cover the cost of the TV and DVD player, which totals $1,800.
Therefore, even after buying groceries, Becky's mom will have $1,850 left, which is sufficient to purchase both the TV and the DVD player.