Kim is reading a book with 380 pages. She read 20 pages each day until she reached Part 2 of the book. Part 2 of the book is 160 pages long. She uses the equation 380−20𝑑=160 to represent the number of days, d, it took her to read Part 1. How many days did it take Kim to read Part 1 of the book?
Thanks for anyone who answers :)
11 days
To find the number of days it took Kim to read Part 1 of the book, we need to solve the equation 380 - 20d = 160 for d.
Step 1: Subtract 160 from both sides of the equation:
380 - 160 - 20d = 160 - 160
220 - 20d = 0
Step 2: Add 20d to both sides of the equation:
220 - 20d + 20d = 0 + 20d
220 = 20d
Step 3: Divide both sides of the equation by 20:
220 / 20 = 20d / 20
11 = d
Therefore, it took Kim 11 days to read Part 1 of the book.
To find the number of days it took Kim to read Part 1 of the book, we need to solve the equation 380 - 20𝑑 = 160 for 𝑑.
Step 1:
Start with the equation: 380 - 20𝑑 = 160.
Step 2:
Simplify the equation by subtracting 160 from both sides: 380 - 160 - 20𝑑 = 0.
Step 3:
Combine the like terms on the left side: 220 - 20𝑑 = 0.
Step 4:
Isolate the variable term by subtracting 220 from both sides: -20𝑑 = -220.
Step 5:
Simplify: 𝑑 = (-220) / (-20).
Step 6:
Divide -220 by -20: 𝑑 = 11.
The solution to the equation is 𝑑 = 11. Therefore, it took Kim 11 days to read Part 1 of the book.
380−20𝑑=160
Subtract 380 from both sides, multiply by -1, then divide by 20.