(I'LL GIVE BRAINLIEST) Carson wanted to buy a cowboy hat that cost $49.95 (with tax) at a souvenir shop. He knew he had $18 at home already, and he could earn $10 per lawn by mowing lawns for his neighbors. He came up with the following expression to figure out how many lawns he would need to mow in order to purchase the hat: M = 10w + 18 with "w" being the number of lawns he would need to mow and "M" being the total amount of money he has.
Carson then determined he would need to mow 3 lawns by completing the follow steps:
50 = 10w + 18
32 = 10w
3.2 = w

Identify Carson's error. Explain the steps to correctly solve for how many lawns Carson needs to mow. Be sure to clearly state the correct answer.