write a real-world problem given the equation 2/3x = 12. Then solve the equation.
Sure! Let's create a real-world problem using the equation 2/3x = 12.
Real-world problem:
Samantha went shopping and bought some items. She noticed that every item she bought cost 2/3 times the price of the previous item. If the first item she bought costs $12, what is the cost of the fifth item?
To solve the equation 2/3x = 12, we follow these steps:
Step 1: Multiply both sides of the equation by 3 to get rid of the fraction:
3 * (2/3x) = 3 * 12
2x = 36
Step 2: Divide both sides of the equation by 2 to isolate the variable:
2x / 2 = 36 / 2
x = 18
Therefore, the cost of the fifth item is $18.