Deandre ordered some books online for $6 each. He paid a total of $3 for shipping. The total cost of the purchase was $75. How many books did he buy?
(a) Write an equation that could be used to answer the question above. First, choose the appropriate form. Then, fill in the blanks with the numbers 6, 3, and 75. Let b represent the number of books.
(b) Solve the equation in part (a) to find the number of books.
(a) The appropriate form of the equation is 6b + 3 = 75.
(b) To solve the equation, we need to isolate the variable b. Subtracting 3 from both sides gives us 6b = 72. Dividing both sides by 6 gives us b = 12. Therefore, Deandre bought 12 books.
(a) The equation that could be used to answer the question is:
6b + 3 = 75
In this equation, "b" represents the number of books Deandre bought, and the equation represents the total cost of the purchase.
(b) To solve the equation, you need to isolate the variable "b" by performing the necessary operations. Here's the step-by-step process:
1. Start with the equation: 6b + 3 = 75
2. To isolate the term with "b", subtract 3 from both sides of the equation:
6b = 75 - 3
= 72
3. Next, divide both sides by 6 to solve for "b":
b = 72 รท 6
= 12
Therefore, Deandre bought 12 books.
Donna is saving money to buy a bike that costs $133. She has $42 and will save an additional $7 each week. In how many weeks will she have enough money to buy the bike?
(a) Write an equation that could be used to answer the question above. First, choose the appropriate form. Then, fill in the blanks with the numbers 133, 42, and 7. Let b represent the number of weeks.
(b) Solve the equation in part (a) to find the number of weeks.
(a) The appropriate form of the equation is 7b + 42 = 133.
(b) To solve the equation, we need to isolate the variable b. Subtracting 42 from both sides gives us 7b = 91. Dividing both sides by 7 gives us b = 13. Therefore, Donna will have enough money to buy the bike in 13 weeks.
Linda sold t-shirts at a festival and made a profit of $83. She made $5 for each t-shirt she sold. Her total expenses were $22. How many t-shirts did she sell?
(a) Write an equation that could be used to answer the question above. First, choose the appropriate form. Then, fill in the blanks with the numbers 83, 5, and 22. Let x represent the number of t-shirts.
(b) Solve the equation in part (a) to find the number of t-shirts.
(a) The appropriate form of the equation is 5x - 22 = 83.
(b) To solve the equation, we need to isolate the variable x. Adding 22 to both sides gives us 5x = 105. Dividing both sides by 5 gives us x = 21. Therefore, Linda sold 21 t-shirts.