Question

which expression can be used to model the recommended amount of fruits and nuts to eat each day?
$3 \times \frac{1}{4}$ $4 \times \frac{1}{4}$ $7 \times \frac{1}{4}$ $8 \times \frac{1}{4}$

Explanation:

Step1: Analyze the number of shaded and unshaded parts

Looking at the two rectangles, the first rectangle has 1 shaded part (out of 4 equal parts, so each part is $\frac{1}{4}$) and the second rectangle has 4 unshaded parts? Wait, no, actually, let's count the total number of parts. Wait, the first rectangle: how many columns? 4 columns, 1 shaded. The second rectangle: 4 columns, all unshaded? Wait, no, maybe the total number of shaded and unshaded combined? Wait, no, the problem is about fruits and nuts, maybe the two rectangles represent something. Wait, maybe the first rectangle has 1 shaded (so 1 part of $\frac{1}{4}$) and the second has 4 parts? Wait, no, let's count the total number of $\frac{1}{4}$ parts. Wait, the first rectangle: 1 shaded (so 1×$\frac{1}{4}$) and the second rectangle: 4 parts (so 4×$\frac{1}{4}$)? No, that doesn't make sense. Wait, maybe the two rectangles: first has 1 shaded (1 part) and the second has 4 parts? Wait, no, the options are 3×1/4, 4×1/4, 7×1/4, 8×1/4. Wait, maybe the first rectangle has 3 unshaded and 1 shaded? No, the first rectangle has 1 shaded (blue) and 3 white. The second rectangle has 4 white. Wait, total number of parts: first rectangle has 4 parts (1 shaded + 3 white), second has 4 parts. Wait, maybe the total number of $\frac{1}{4}$ parts is 1 + 4? No, 1 + 4 is 5? No, the options are 3×1/4, 4×1/4, 7×1/4, 8×1/4. Wait, maybe I misread. Wait, the first rectangle: 1 shaded (so 1×1/4) and the second rectangle: 4 parts? No, wait, maybe the first rectangle has 3 white and 1 shaded (total 4 parts), and the second rectangle has 4 parts (all white). Wait, no, maybe the total number of parts is 1 (shaded) + 4 (from second rectangle)? No, that's 5. Wait, the options have 7×1/4? Wait, 1 + 6? No, maybe the first rectangle has 1 shaded (1×1/4) and the second has 6? No, the second rectangle has 4 columns. Wait, maybe the first rectangle: 1 shaded (so 1 part of 1/4) and the second rectangle: 4 parts (so 4×1/4), but that's 5×1/4, not an option. Wait, maybe the first rectangle has 3 white (so 3×1/4) and the second has 4×1/4? No, 3 + 4 = 7. Ah! So first rectangle: 3 white parts (each 1/4) and 1 shaded? No, the first rectangle has 1 shaded (blue) and 3 white. The second rectangle has 4 white. So total white parts: 3 + 4 = 7? Wait, no, maybe the shaded is 1 and the other is 4? No, the options are 3×1/4, 4×1/4, 7×1/4, 8×1/4. Wait, 1 (shaded) + 6? No, maybe the first rectangle has 3 parts (white) and the second has 4 parts (white), so total 3 + 4 = 7, so 7×1/4. Wait, that makes sense. So first rectangle: 3 white (3×1/4) and second: 4 white (4×1/4), total 3 + 4 = 7, so 7×1/4.

Step2: Calculate the total number of $\frac{1}{4}$ parts

First rectangle: 3 white parts (each $\frac{1}{4}$) and 1 shaded? No, maybe the first rectangle has 1 shaded (1×$\frac{1}{4}$) and the second has 6? No, the second rectangle has 4 columns. Wait, maybe the first rectangle has 1 shaded (so 1×$\frac{1}{4}$) and the second has 4 parts (4×$\frac{1}{4}$), but that's 5. No, the options have 7×$\frac{1}{4}$. Wait, maybe the first rectangle has 3 unshaded (3×$\frac{1}{4}$) and the second has 4 unshaded (4×$\frac{1}{4}$), so total 3 + 4 = 7, so 7×$\frac{1}{4}$. Yes, that must be it. So the total number of $\frac{1}{4}$ parts is 3 + 4 = 7, so the expression is 7×$\frac{1}{4}$.

Answer:

$7 \times \frac{1}{4}$ (corresponding to the option "7×1/4")