A 29 horsepower lawn tractor sells for $1599.99 This is 12% more than the price of the same lawn tractor with a standard transmission. What is the price of the less expensive model?
12%=0.12 then you multiply $1599.99 by 0.12 and you get 191.9988 then you round and get $192 hope this is correct its been a couple years since alg.
To find the price of the less expensive model, we need to determine the price increase caused by the 12% difference.
Let's assume the price of the less expensive model is X dollars.
According to the given information, the more expensive model (with 29 horsepower) costs 12% more than the less expensive model (with standard transmission) which we assume to be X dollars.
So, the price increase is 12% of X, which can be calculated as:
12/100 * X = 0.12X
The price of the more expensive model can be obtained by adding the price increase to the price of the less expensive model:
X + 0.12X = 1.12X
Given that the price of the more expensive model is $1599.99, we can set up the following equation:
1.12X = 1599.99
To find the value of X, we divide both sides of the equation by 1.12:
X = 1599.99 / 1.12
Now we can calculate the price of the less expensive model:
X ≈ $1428.55
Therefore, the price of the less expensive model is approximately $1428.55.
To find the price of the less expensive model, we can start by setting up an equation based on the given information.
Let's assume the price of the less expensive model with a standard transmission is "x."
According to the problem, the price of the more expensive model with 29 horsepower is 12% more than the price of the less expensive model with a standard transmission.
The equation can be written as:
x + 0.12x = 1599.99
Simplifying the equation:
1.12x = 1599.99
Next, we will isolate "x" by dividing both sides of the equation by 1.12:
x = 1599.99 / 1.12
Calculating this, we find:
x ≈ 1428.55
Therefore, the price of the less expensive model, with a standard transmission, is approximately $1428.55.