Question

Ratio of number of oranges and apples in a box is 2:3. If 5 more of each fruit is

added, the ratio would be 5:7. Form the equation.​

Answer 1

Answer:

24

Step-by-step explanation:

It is just very simple. Divide 60 in the ratio of 2 : 3 . Let k be ratio constant, then 2k + 3k = 5k = 60 implies

k = 12 . Hence there are (12 x 3) = 36 apples and (12 x 2) = 24 oranges in the box .

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Answer 2

Given:

✰ Ratio of number of oranges and apples in a box is 2:3.

✰ If 5 is added to each fruit, the ratio would be 5:7.

To form:

✠ The equation.

Solution:

Let's understand the concept first! We know that the ratio of number of oranges and apples in a box is 2:3. so first we will assume that the two numbers are 2x and 3x respectively. Then we know that if 5 is added to each fruit that means we will sum of 5 or add 5 both the numbers are respectively, then the ratio becomes 5:7. Like this way will form an equation. To find out both the numbers - ( forming an adequate equation and doing required calculations we will find the value of x and after that we will substitute the value of x in both the numbers to find out both the number of fruits respectively. )

Let's solve it...✧

Let the number of oranges be 2x and the number of apples be 3x.

If 5 is added to each fruit

2x + 5

3x + 5

Ratio becomes 5:7

So, first we will form the ratio of two numbers and then we will form respective equation.

According to the question,

➤ (2x + 5)/(3x + 5) = 5/7

∴ The required equation is (2x + 5)/(3x + 5) = 5/7

We can further simplify it and find out the value of both the number of fruits respectively.

➤ 7 (2x + 5) = 5(3x + 5)

➤ 14x + 35 = 15x + 25

➤ 15x - 14x = 35 - 25

➤ x = 10

Now, find out both the numbers

➛ Number of oranges = 2x

➛ Number of oranges = 2 × 10

➛ Number of oranges = 20

➛ Number of apples = 3x

➛ Number of apples = 3 × 10

➛ Number of apples = 30

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