The Correct Answer and Explanation is:
The correct answer is that 1 cup of the snack food contains 4/3 of your daily value of calcium.
Explanation:
To solve this problem, we can use a visual model, such as a bar or a rectangle, to represent the quantities. Let us imagine a rectangle that stands for one full cup of the snack food.
First, we divide this rectangle into four equal parts, because the problem gives us information about 3/4 of a cup. Each of these smaller sections represents 1/4 of a cup. The problem states that 3/4 of a cup, which is three of these four sections, provides one complete daily value of calcium. We can visualize this by shading in three of the four sections. This entire shaded area, representing 3/4 of a cup, is equivalent to 100 percent, or one whole, of your daily calcium requirement.
Now we need to determine the value of each individual section. Since the three shaded sections together equal one full daily value of calcium, each single section must be equal to 1/3 of the daily value. We can think of it as dividing the total daily value (1) by the number of sections (3).
The question asks for the amount of calcium in one whole cup, which includes all four sections of our rectangle. We already know that each of the four identical sections contains 1/3 of the daily value of calcium. To find the total for the whole cup, we simply add the value of all four sections together. This calculation would be 1/3 + 1/3 + 1/3 + 1/3, which sums to 4/3.
This logic can also be expressed through a direct mathematical equation. We want to find a total amount (let’s call it ‘x’) such that 3/4 of it equals 1. The equation is (3/4) * x = 1. To solve for x, we divide 1 by 3/4. Dividing by a fraction is the same as multiplying by its reciprocal, so the calculation becomes 1 * (4/3), which equals 4/3. Both the drawing and the calculation confirm that a full cup of the snack food provides 4/3, or one and one third, of your daily value of calcium.
