Munene and kendi shared some mangoes in ratio 2:3. Kendi received 4 more mangoes than munene .if they total x mangoes ,how many mangoes did munene get?. Explain the steps to work out the question ?

Let's denote the number of mangoes Munene received as 2x and the number of mangoes Kendi received as 3x.

According to the given information, we know that Kendi received 4 more mangoes than Munene. So, we can write the equation:

3x = 2x + 4

Now, we can solve for x:

3x - 2x = 4
x = 4

Now that we have found the value of x, we can substitute it back into the expressions for Munene and Kendi's mangoes:

Munene: 2x = 2(4) = 8 mangoes
Kendi: 3x = 3(4) = 12 mangoes

Therefore, Munene received 8 mangoes.

Step 1: Find the total number of parts in the ratio.
2 (Munene's part) + 3 (Kendi's part) = 5 parts

Step 2: Find the value of one part.
Total mangoes / Total parts = Value of one part
x mangoes / 5 parts = x/5 mangoes per part

Step 3: Calculate Munene's share.
Munene's part in the ratio = 2/5
Munene's share = 2/5 - (x/5 mangoes per part)
= 2x/25 mangoes

Step 4: Calculate Kendi's share.
Kendi's part in the ratio = 3/5
Kendi's share = 3/5 - (x/5 mangoes per part)
= 3x/25 mangoes

Step 5: Find the difference between Kendi's and Munene's share.
Kendi received 4 more mangoes than Munene.
3x/25 - 2x/25 = 4 mangoes

Step 6: Solve for x.
3x - 2x = 100
x = 100 mangoes

Step 7: Calculate Munene's share.
Munene's share = 2x/25 = 2 - 100 / 25 = 80 mangoes

Therefore, Munene received 80 mangoes.