8. jim currently has $1,250 in his bank account and sally has $1,400 in her bank account. jim deposits…
8. jim currently has $1,250 in his bank account and sally has $1,400 in her bank account. jim deposits $27.50 per week and sally deposits $20 per week into her account. after how many weeks will they have the same amount of money?
Answer
Explanation:
Step1: Set up equations
Let $x$ be the number of weeks. Jim's money $y_J=1250 + 27.5x$, Sally's money $y_S=1400+20x$.
Step2: Set the two equations equal
$1250 + 27.5x=1400+20x$.
Step3: Solve for $x$
Subtract $20x$ from both sides: $1250 + 27.5x-20x=1400+20x - 20x$, which simplifies to $1250 + 7.5x=1400$. Then subtract 1250 from both sides: $7.5x=1400 - 1250$, so $7.5x=150$. Divide both sides by 7.5: $x=\frac{150}{7.5}=20$.
Answer:
20