To determine how much water is left in Ryan's barrel after he uses some for his garden in June and July, we need to follow these steps:
1. Identify the initial amount of water in the barrel:
- The barrel initially contains 15 gallons of water.
2. Calculate the amount of water used in June:
- Ryan uses 6.8 gallons of water in June.
3. Calculate the amount of water used in July:
- Ryan uses [tex]\( 5 \frac{1}{8} \)[/tex] gallons in July. To work with this, convert the mixed fraction to a decimal:
[tex]\[
5 \frac{1}{8} = 5 + \frac{1}{8} = 5 + 0.125 = 5.125
\][/tex]
4. Sum the total amount of water used:
- Add the water used in June and July:
[tex]\[
6.8 + 5.125 = 11.925 \text{ gallons}
\][/tex]
5. Subtract the total water used from the initial amount:
- Determine the water remaining in the barrel:
[tex]\[
15 - 11.925 = 3.075 \text{ gallons}
\][/tex]
6. Conclusion:
- After using 6.8 gallons in June and 5.125 gallons in July, Ryan will have approximately 3.075 gallons left in the barrel.
Thus, the correct answer is:
3.075 gallons
