To find out how much more Tapaba received compared to Palibe when sharing [tex]$30.00 in the ratio of 2:3, follow these steps:
1. Determine the total number of parts in the ratio:
- Each ratio part for Palibe is 2.
- Each ratio part for Tapaba is 3.
- Therefore, the total number of parts is \(2 + 3 = 5\).
2. Find the value of each part:
- The total amount of money to be shared is $[/tex]30.00.
- Divide the total amount of money by the total number of parts:
[tex]\[
\text{Value of each part} = \frac{30}{5} = 6
\][/tex]
3. Calculate the amount received by Palibe:
- Palibe’s share is 2 parts.
- So, the amount Palibe received is:
[tex]\[
\text{Palibe's share} = 2 \times 6 = 12
\][/tex]
4. Calculate the amount received by Tapaba:
- Tapaba’s share is 3 parts.
- Therefore, the amount Tapaba received is:
[tex]\[
\text{Tapaba's share} = 3 \times 6 = 18
\][/tex]
5. Find the difference between the amounts received by Tapaba and Palibe:
- The difference is calculated as follows:
[tex]\[
\text{Difference} = 18 - 12 = 6
\][/tex]
Thus, Tapaba received $6 more than Palibe.
