Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

A toll bridge took in 2.4×1072.4 \times 10^7 dollars last month. If 4×1064 \times 10^6 cars went across the toll bridge during that time, how much was the average toll per car? Write your answer in standard form. Do not use exponents.\newline$\$____

Full solution

Q. A toll bridge took in 2.4×1072.4 \times 10^7 dollars last month. If 4×1064 \times 10^6 cars went across the toll bridge during that time, how much was the average toll per car? Write your answer in standard form. Do not use exponents.\newline$\$____
  1. Write Total Revenue and Cars: First, let's write down the total revenue and the number of cars: Total revenue = 2.4×1072.4 \times 10^7 dollars, Number of cars = 4×1064 \times 10^6.
  2. Calculate Average Toll: Now, to find the average toll per car, we divide the total revenue by the number of cars: Average toll per car = Total revenueNumber of cars\frac{\text{Total revenue}}{\text{Number of cars}}.
  3. Divide Total Revenue by Cars: So, Average toll per car = (2.4×107 dollars)/(4×106 cars)(2.4 \times 10^7 \text{ dollars}) / (4 \times 10^6 \text{ cars}).
  4. Simplify Division: We can simplify this by dividing the numbers and the exponents separately: Average toll per car = (2.4/4)×(107/106)(2.4/4) \times (10^7/10^6).
  5. Perform Division: Dividing 2.42.4 by 44 gives us 0.60.6, and dividing 10710^7 by 10610^6 gives us 10110^1, which is just 1010.
  6. Calculate Average Toll in Standard Form: So, Average toll per car = 0.6×100.6 \times 10 dollars.
  7. Multiply to Get Average Toll: Now, we multiply 0.60.6 by 1010 to get the average toll in standard form: Average toll per car = 66 dollars.

More problems from Multiply and divide rational numbers: word problems