To solve this problem, let’s represent the cost of the bench as . Given that the garden table costs more, its cost would be . The total cost of both is , leading us to the equation:

Combine like terms to get , and then solve for to find the cost of the bench.

Once you’ve simplified, you’ll find leading to . Therefore, the bench costs and the garden table costs .

Given this situation, it’s clear how linear equations can help us model real-life budgeting scenarios, showing how costs relate. So next time you’re planning your garden furniture, you can apply these same principles!

Don’t forget that understanding linear equations not only helps in managing budgets but also enhances critical thinking skills! If you enjoy solving equations, consider diving into real-world applications like budgeting for a trip, planning an event, or even creating your own business model. There are countless scenarios where mathematical reasoning can shine!