13. During a paint sale, a hardware store sold 33 gallons of flat paint and 57 gallons of high-gloss paint. What is the ratio of gallons of high-gloss paint sold to the total gallons sold?

A. [tex]$57:33$[/tex]
B. [tex]$33:90$[/tex]
C. [tex]$33:57$[/tex]
D. [tex]$57:90$[/tex]



Answer :

Sure, let's break down the problem step-by-step:

1. Identify the quantities:
- Gallons of flat paint sold: 33 gallons
- Gallons of high-gloss paint sold: 57 gallons

2. Calculate the total gallons of paint sold:
- Total gallons = gallons of flat paint + gallons of high-gloss paint
- Total gallons = 33 + 57
- Total gallons = 90

3. Determine the ratio of high-gloss gallons sold to the total gallons sold:
- The ratio we are looking for is the number of gallons of high-gloss paint sold to the total number of gallons sold.
- The ratio is therefore 57 (high-gloss) to 90 (total).

4. Express the ratio in simplest form for clarity:
- The answer is already in its simplest form as 57:90.

Thus, the ratio of gallons of high-gloss paint sold to the total gallons sold is [tex]\( \boxed{57:90} \)[/tex], which corresponds to option D.