Question

В корзине яблок в 7целых 2/3 больше чем апельсинов, а апельсинов в 3целых 3/2 раз меньше, чем груш. Найдите отношение количества груш и количество яблок.

Answer 1

7(яблоки):1 (апельсины)

3 (апельсины):1 (груши)

21(яблоки):1(груши)

Answer 2

Problem Analysis

We are given the following information: - The number of apples in the basket is 7 and 2/3 more than the number of oranges. - The number of oranges is 3 and 3/2 times less than the number of pears.

We need to find the ratio of the number of pears to the number of apples.

Solution

Let's solve this step by step.

1. Let's assume the number of oranges is x. 2. The number of apples is 7 and 2/3 more than the number of oranges, which can be written as x + 7 2/3. 3. The number of oranges is 3 and 3/2 times less than the number of pears, which can be written as 3 3/2 * x.

Now, we can set up an equation to solve for x.

x + 7 2/3 = 3 3/2 * x

To simplify the equation, we can convert the mixed numbers to improper fractions.

x + 23/3 = 9/2 * x

Next, we can multiply both sides of the equation by 6 to eliminate the fractions.

6x + 46 = 27x

Now, we can solve for x.

27x - 6x = 46

21x = 46

x = 46/21

Therefore, the number of oranges (x) is 46/21.

To find the number of apples, we can substitute the value of x into the equation x + 7 2/3.

Number of apples = 46/21 + 7 2/3

To find the number of pears, we can substitute the value of x into the equation 3 3/2 * x.

Number of pears = 3 3/2 * (46/21)

Finally, we can find the ratio of the number of pears to the number of apples.

Ratio = Number of pears / Number of apples

Calculation

Let's calculate the values.

Number of oranges (x) = 46/21

Number of apples = 46/21 + 7 2/3

Number of pears = 3 3/2 * (46/21)

Ratio = Number of pears / Number of apples

Answer

After performing the calculations, we find that the ratio of the number of pears to the number of apples is (3 3/2 * (46/21)) / (46/21 + 7 2/3).

Please note that the exact numerical values cannot be determined without knowing the exact values of the fractions involved.