Henry needs to rent a tractor. Jim Bob's Equipment rentals rents tractors for a delivery fee of $230 plus an additional $14 per day. Jonny's Equipment Rentals rents tractors for a delivery fee of $95 plus an additional $23 per day. Determine the number of rental days for which both rental companies charge the same amount.

Both rental companies will charge the same amount ($ 440) for 15 rental days

Step-by-step explanation:

1. Let's review the information given to us to answer the problem correctly:

Jim Bob's Equipment rate = delivery fee of $230 plus an additional $14 per day

Jonny's Equipment Rentals = delivery fee of $95 plus an additional $23 per day

2. Determine the number of rental days for which both rental companies charge the same amount.

x = Rental days

Now, let's write the equation to solve for x, this way:

Jim Bob's Equipment rate = 230 + 14x

Jonny's Equipment Rentals = 95 + 23x

230 + 14x = 95 + 23x

14x - 23x = 95 - 230

-9x = - 135

x = - 135/-9

x = 15

230 + 14 * 15 = 95 + 23 * 15

230 + 210 = 95 + 345

440 = 440

Both rental companies will charge the same amount ($ 440) for 15 rental days