Question

Amy buys $d$ dollars worth of groceries each week and spends one fourth of those dollars on fruit. In terms of $d$, how many weeks will it take Amy to spend a total of 100$ just on fruit?

• A. $\frac{400}{d}$
• B. $\frac{25}{d}$
• C. $\frac{d}{25}$
• D. $\frac{d}{400}$

Answer 1

The correct option is A $\frac{400}{d}$

Given that:

$d=$ total dollars spent on groceries weekly

Given that, $d\times \frac{1}{4}=$ total spent on fruit weekly

Suppose that total $100\text{dollars}$ a week Amy spends on fruits,

$\frac{d}{4}=100$

$d=400$

When total spent on groceries is $400\text{dollars}$, Amy spent $100\text{dollars}$ on fruit.

Let's say Amy takes $X$ weeks will it take Amy to spend a total of $100\text{dollars}$ just on fruits,

Then, $X=\frac{400}{d}.$