Write a real world problem that you can solve by writing an equation . The answer to the problem must be 6
You have 24 cookies and want to divide them among yourself and three friends.
24/4 = x
Sure, here's a real world problem that can be solved by writing an equation:
Problem: You are hosting a dinner party and need to figure out how many pizzas to order. Each pizza has 8 slices. You want to make sure that every guest gets an equal number of slices and you have 48 guests. How many pizzas should you order to ensure each guest gets 6 slices?
Equation: Let's assign the variable "p" to represent the number of pizzas.
The total number of slices needed is 6 slices per guest multiplied by 48 guests, which gives us:
6 * 48 = 288
Since each pizza has 8 slices, we can write another equation:
8p = 288
Now, let's solve this equation to find the number of pizzas (p):
8p = 288
p = 288/8
p = 36
Answer: You should order 36 pizzas to ensure each guest gets 6 slices and have a total of 48 guests at your dinner party.
Sure! Let's consider the following real-world problem:
Problem: A baking recipe requires 3 cups of flour to make 12 cookies. How many cookies can be made with 6 cups of flour?
Solution:
To solve this problem, we can use a proportion to set up an equation. A proportion is an equation stating that two ratios are equal to each other.
Step 1: Set up the proportion:
Let x represent the number of cookies that can be made with 6 cups of flour.
The proportion can be set up as follows:
3 cups of flour / 12 cookies = 6 cups of flour / x cookies
Step 2: Solve the proportion:
Using the cross-multiplication property, we have:
(3 cups of flour)(x cookies) = (6 cups of flour)(12 cookies)
3x = 72
Step 3: Solve for x:
Divide both sides of the equation by 3:
3x / 3 = 72 / 3
x = 24
Answer: Therefore, with 6 cups of flour, you can make 24 cookies, which satisfies the condition of the problem.