If 3 apples are placed with 6 oranges in an arrangement. How many apples will be placed next to 80 oranges in the same arrangement

Answer: 40 apples

Step-by-step solution

Step 1: Find the ratio of apples to oranges

We first determine the constant relationship between the number of apples and oranges. In the given arrangement, $3$ apples correspond to $6$ oranges, which simplifies to a ratio of $1$ apple for every $2$ oranges.

Step 2: Set up the proportion for 80 oranges

Let $x$ be the required number of apples to be placed with $80$ oranges. Since the arrangement maintains the same proportion, the ratio of $x$ apples to $80$ oranges must equal $\frac{1}{2}$ .

Step 3: Solve for the unknown number of apples

Multiplying both sides of the equation by $80$ yields $x = 40$ . Therefore, $40$ apples will be placed next to $80$ oranges in this arrangement.

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