Question

michael and sarah decide to save money. let x represent the number of days michael saves and y represent the number of days sarah saves. michael saves $10 every day and sarah saves $15 every day. after some time, michael has saved $70 and sarah has saved $105. which system of equations represents the situation? 10x = 70, 15y = 105; 7x = 70, 7y = 105; 10x = 70, 15y = 105; 15x = 70, 10y = 105

Explanation:

Step1: Identify Michael's savings equation

Michael saves $10 per - day and has saved $70. The amount of money he saves is the product of the amount per day and the number of days. So the equation is $10x = 70$, where $x$ is the number of days Michael saves.

Step2: Identify Sarah's savings equation

Sarah saves $15 per - day and has saved $105. The amount of money she saves is the product of the amount per day and the number of days. So the equation is $15y = 105$, where $y$ is the number of days Sarah saves.

Answer:

$10x = 70$ and $15y = 105$