Sure, let's solve this problem step by step.
### Part 1: Calculating the Paint Needed
Given:
- 1 gallon of paint covers 450 square feet.
- The wall surface area to be painted is 675 square feet.
Step-by-Step Solution:
1. Calculate the number of gallons needed:
- Total wall surface area / Coverage per gallon
- [tex]\( \frac{675 \text{ square feet}}{450 \text{ square feet per gallon}} = 1.5 \text{ gallons} \)[/tex]
2. Considering practical use:
We can't practically use a fraction of a gallon, so we round up to the nearest whole number.
- Rounding up 1.5 gallons gives us 2 gallons.
So, 2 gallons of paint are needed to cover 675 square feet of wall surface.
### Part 2: Insecticide Solution Calculation
Given:
- It takes 4 ounces of insecticide to make [tex]\( 2 \frac{1}{2} \)[/tex] (2.5) gallons of garden solution.
- 1 gallon = 128 ounces.
Step-by-Step Solution:
1. Convert the fractional gallons to ounces:
- 2.5 gallons * 128 ounces per gallon
- [tex]\( 2.5 \text{ gallons} \times 128 \text{ ounces per gallon} = 320 \text{ ounces} \)[/tex]
So, 320 ounces represents the total volume of the garden solution.
To summarize:
- 2 gallons of paint are required to cover a 675 square feet wall surface.
- 320 ounces of garden solution can be made with 4 ounces of insecticide.
