Write a real-life situation to fit the following equation. Then, solve the equation in two different ways. Show all the steps. Finally, choose which solution method you liked best and explain your reason. 8(x+9)=144 Shirt
Real-life situation:
Let's say you want to buy a shirt that costs $144. The store is offering a discount of 8 times the sum of the regular price of the shirt and an additional $9.
Solution method 1: Simplifying and Solving
8(x + 9) = 144
First, distribute the 8 to both terms inside the parentheses:
8x + 72 = 144
Next, isolate the variable by subtracting 72 from both sides of the equation:
8x + 72 - 72 = 144 - 72
8x = 72
Finally, divide both sides of the equation by 8 to solve for x:
x = 72/8
x = 9
So, the solution for this real-life situation is that the regular price of the shirt is $9.
Solution method 2: Plugging in values and Solving
8(x + 9) = 144
We can plug in different values for x and see where the equation is satisfied:
Let's start with x = 10:
8(10 + 9) = 144
8(19) = 144
152 = 144 (not satisfied)
Now, let's try x = 9:
8(9 + 9) = 144
8(18) = 144
144 = 144 (satisfied)
By trying different values, we can see that x = 9 is the solution that satisfies the equation and the real-life situation.
I prefer solution method 1 (simplifying and solving) as it provides a more systematic and general approach to solving equations. It is applicable to any equation, and once you understand the steps, you can use it to solve a variety of mathematical problems. Solution method 2 (plugging in values) can be useful for quickly checking a solution or gaining intuition, but it may not always be as accurate or reliable as method 1 in more complex equations.
Can u make the fiery one sentence
Sure! Here's a fiery one-sentence description of the situation: "In a scorching deal, a shirt priced at $144 has a discount of 8 times the sum of its regular price and an additional $9."
Write a real-life situation to fit the following equation. Then, solve the equation in two different ways. Show all the steps. Finally, choose which solution method you liked best and explain your reason. 8(x+9)=144
Real-life situation:
Let's say you have a budget of $144 to buy snacks for a group of friends. Each person in the group wants to contribute equally to the cost of the snacks. You find out that the total cost is 8 times the sum of the individual contribution and an additional $9.
Solution method 1: Simplifying and Solving
8(x + 9) = 144
First, distribute the 8 to both terms inside the parentheses:
8x + 72 = 144
Next, isolate the variable by subtracting 72 from both sides of the equation:
8x + 72 - 72 = 144 - 72
8x = 72
Finally, divide both sides of the equation by 8 to solve for x:
x = 72/8
x = 9
So, in this real-life situation, each person's contribution to cover the snack cost is $9.
Solution method 2: Plugging in values and Solving
8(x + 9) = 144
We can plug in different values for x and see where the equation is satisfied:
Let's start with x = 10:
8(10 + 9) = 144
8(19) = 144
152 = 144 (not satisfied)
Now, let's try x = 9:
8(9 + 9) = 144
8(18) = 144
144 = 144 (satisfied)
By trying different values, we can see that x = 9 is the solution that satisfies the equation and the real-life situation.
I prefer solution method 1 (simplifying and solving) as it provides a more systematic and general approach to solving equations. It is applicable to any equation, and once you understand the steps, you can use it to solve a variety of mathematical problems. Solution method 2 (plugging in values) can be useful for quickly checking a solution or gaining intuition, but it may not always be as accurate or reliable as method 1 in more complex equations.