To determine Ben's mean monthly earnings in pounds over the 4 months, let's follow these steps:
1. Sum the monthly earnings in Riyal:
- January: 32,616 Riyal
- February: 30,120 Riyal
- March: 38,624 Riyal
- April: 35,440 Riyal
[tex]\[
\text{Total earnings in Riyal} = 32,616 + 30,120 + 38,624 + 35,440 = 136,800 \text{ Riyal}
\][/tex]
2. Calculate the mean monthly earnings in Riyal:
[tex]\[
\text{Mean monthly earnings in Riyal} = \frac{\text{Total earnings in Riyal}}{4}
\][/tex]
[tex]\[
\text{Mean monthly earnings in Riyal} = \frac{136,800 \text{ Riyal}}{4} = 34,200 \text{ Riyal}
\][/tex]
3. Convert the mean monthly earnings from Riyals to pounds using the given exchange rate (5 Riyal = 1 pound):
[tex]\[
\text{Mean monthly earnings in pounds} = \frac{\text{Mean monthly earnings in Riyal}}{5}
\][/tex]
[tex]\[
\text{Mean monthly earnings in pounds} = \frac{34,200 \text{ Riyal}}{5} = 6,840 \text{ pounds}
\][/tex]
Thus, Ben's mean monthly earnings over the 4 months, given in pounds, is £6,840.
