Consider the procedure used below to solve the given equation. Given: 5(2x - 5) + 2x+8 = 43
Step 1: 10 - 25 + 2 + 8 = 43
Step 2: 12r - 17 = 43
Step 3: 12r = 43 +17
Step 4: 121= 60
Step 5: x=5
Which statement about the solution of the given equation is true?
The first mistake was made in Step 1.
The first mistake was made in Step 2
The first mistake was made in Step 3
Each step is correct.

Option B

ANSWER:

8800000 more cars were on the road in year 3 compared to year 2

SOLUTION:

Given, Maria studied the traffic trends in India.  

She found that the number of cars on the road increases by 10% each year.  

If there were 80 million cars in year 1 of her study, we need to find how many more cars were on road in year 3 compared to 2.

Cars on road in 1st year = 80,000,000

Now, according to maria study,

Cars on road in 2nd year = cars on road in 1st year + 10% x cars on road in 1st year

= 80000000 + 10% x 80000000

= 80000000 + 8000000

= 88000000

Hence cars on road in 2nd year = 88000000

Now, Cars on road in 3rd year = cars on road in 2nd year + 10% x cars on road in 2nd year

= 88000000 + 10% x 88000000

= 88000000 + 8800000

= 96800000

Hence cars on road in 3rd year = 96800000

Number of excess cars in 3rd compared to 2nd = cars on road in 3rd year - cars on road in 2nd year

= 96800000 – 88000000

= 8800000

So, there are 8800000 more cars in third year that second year.

Hence, the second option, 8800000 is right answer.