We are given : In a furniture rental store a down payment = $100.
Monthly charge of the table = $72.50 per month.
Total amount to be paid for the table = $535.
Let us assume number of months be n for which Hilde rented the table.
We are given equation also 72.50n + 100 = 535.
We need to solve the equation for n.
72.50n + 100 = 535.
Subtracting 100 from both sides, we get
72.50n + 100-100 = 535-100
72.50n = 435
Dividing both sides by 72.50, we get
72.50n/72.50 = 435/72.50
n = 6.
Therefore, for 6 months Hilde rented the table.