Question

Hannah has $55. Her brother has $115. Hannah saves $10 per week. Her brother saves $6 per week. After x weeks, they will have saved the same amount. What equation shows this relationship?

Answer 1

The equation that shows when Hannah and her brother will have saved the same amount of money after x weeks is 55 + 10x = 115 + 6x.

Step-by-step explanation:

To find the equation that shows the relationship between the amount of money Hannah and her brother will save after x weeks, we can set up the following expressions. Hannah starts with $55 and saves $10 per week, while her brother starts with $115 and saves $6 per week. The equation will equate Hannah's savings to her brother's savings after x weeks.

Hannah's savings after x weeks would be her initial amount plus $10 times the number of weeks, which is represented by the equation 55 + 10x. Similarly, her brother's savings would be his initial amount plus $6 times the number of weeks, represented by the equation 115 + 6x. To find out when they will have saved the same amount, we equate the two expressions:

55 + 10x = 115 + 6x

This is the equation that shows the relationship between the amount Hannah and her brother will save after x weeks.