A garden table and a bench cost $898 combined. The garden table costs $48 more than the bench. What is the cost of the bench?

Question

A garden table and a bench cost $898

 combined. The garden table costs $48

 more than the bench. What is the cost of the bench?

Answer 1

T = cost of table

B = cost of bench

T + B = $898 ... eq. 1

T = B + $48 ... eq. 2

Substitute eq. 2 into eq. 1 and solve for B:

B + 48 + B = 898

2B + 48 = 898

2B = 850

B = $425 = cost of bench

Check:

Table + bench = 898

Table = 898 - 425 = 473

Is the table $48 more than the bench? $425 + $48 = $473 (√)

Does the price of the bench and table add to $898? $473 + $425 = $898 (√)