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Answer :
We begin by noting that the cooling system has a capacity of [tex]$3\frac{1}{2}$[/tex] gallons. In decimal form, this is:
[tex]$$
3\frac{1}{2} = 3.5 \text{ gallons.}
$$[/tex]
The mixture used is [tex]$\frac{3}{8}$[/tex] ethylene glycol. Thus, the amount of ethylene glycol in gallons is found by multiplying the total capacity by [tex]$\frac{3}{8}$[/tex]:
[tex]$$
\text{Ethylene glycol (gallons)} = 3.5 \times \frac{3}{8}.
$$[/tex]
Calculating this, we have:
[tex]$$
3.5 \times \frac{3}{8} = 1.3125 \text{ gallons.}
$$[/tex]
Since there are 4 quarts in 1 gallon, we convert the ethylene glycol from gallons to quarts:
[tex]$$
\text{Ethylene glycol (quarts)} = 1.3125 \times 4 = 5.25 \text{ quarts.}
$$[/tex]
Thus, the engine uses [tex]$5.25$[/tex] quarts of ethylene glycol.
[tex]$$
3\frac{1}{2} = 3.5 \text{ gallons.}
$$[/tex]
The mixture used is [tex]$\frac{3}{8}$[/tex] ethylene glycol. Thus, the amount of ethylene glycol in gallons is found by multiplying the total capacity by [tex]$\frac{3}{8}$[/tex]:
[tex]$$
\text{Ethylene glycol (gallons)} = 3.5 \times \frac{3}{8}.
$$[/tex]
Calculating this, we have:
[tex]$$
3.5 \times \frac{3}{8} = 1.3125 \text{ gallons.}
$$[/tex]
Since there are 4 quarts in 1 gallon, we convert the ethylene glycol from gallons to quarts:
[tex]$$
\text{Ethylene glycol (quarts)} = 1.3125 \times 4 = 5.25 \text{ quarts.}
$$[/tex]
Thus, the engine uses [tex]$5.25$[/tex] quarts of ethylene glycol.
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