Final answer:
Kyle will have saved $100 after 3 days, as he saves $41.25 each day from his aunt's gift and his own contribution.
Step-by-step explanation:
To determine how many days Kyle will have saved $100, given he receives $40 from his aunt every day and adds $1.25 to his savings, we can set up a simple equation. Each day, Kyle's total savings increase by $41.25 ($40 from his aunt and $1.25 he adds). We want to find out after how many days (d) his total savings will reach $100. The equation will be:
41.25d = 100
To solve for d, we divide both sides of the equation by 41.25:
d = 100 / 41.25
d ≈ 2.42
Since Kyle cannot save for a fraction of a day, we round up to the nearest whole number, so Kyle will have saved $100 after 3 days.