Amy buys d dollars worth of groceries weekly and spends one-fourth on fruit. How many weeks to spend 100 dollars on fruit?

The correct answer is 400/d. Amy spends 'd' dollars on groceries weekly. She spends one-fourth of this amount on fruit, meaning she spends (1/4) * d = d/4 dollars on fruit per week. To find out how many weeks (W) it will take to spend $100 on fruit, we set up the equation:

• W * (d/4) = 100
• To solve for W, multiply both sides by 4/d: W = 100 * (4/d) = 400/d weeks.
• Options 25/d, d/100, and d/25 represent incorrect algebraic manipulations or misunderstandings of the problem's setup.