Certainly! Let's solve the problem step by step.
Justina and Fane shared 60 oranges in the ratio 5:3. This means for every 5 parts that Justina gets, Fane gets 3 parts.
1. Identify the total number of parts:
The ratio 5:3 can be understood as follows:
- Justina's share is 5 parts.
- Fane's share is 3 parts.
Therefore, the total number of parts:
[tex]\[
5 + 3 = 8
\][/tex]
So, the total oranges, 60, are divided into 8 equal parts.
2. Calculate the number of oranges per part:
Since 60 oranges are divided into 8 parts, the number of oranges in each part is:
[tex]\[
\text{Oranges per part} = \frac{60}{8}
\][/tex]
3. Determine Justina's share:
Justina receives 5 parts out of the 8 total parts. To find the number of oranges Justina received, multiply the number of oranges per part by Justina's 5 parts:
[tex]\[
\text{Oranges received by Justina} = 5 \times \left(\frac{60}{8}\right)
\][/tex]
4. Simplify the calculation:
[tex]\[
\text{Oranges received by Justina} = 5 \times 7.5 = 37.5
\][/tex]
Therefore, Justina received 37.5 oranges.
