[tex]\begin{gathered} A)1.75x\leq35 \\ x\text{ is the number of horses} \end{gathered}[/tex]
B)
[tex]\begin{gathered} 1.75x\leq35 \\ \text{divide both sides by 1.75} \\ \frac{1.75x}{1.75}\leq\frac{35}{1.75} \\ x\leq20 \end{gathered}[/tex]
so, the farm can support 20 horses at most
Explanation
Step 1
make the inequality
Let x represent the number of horses, so
if a horse needs 1. 75 acres , the number of acres needed by x horse will be x times that value
so
[tex]\begin{gathered} total\text{ acres= 1.75x} \\ \end{gathered}[/tex]
also, we are told that Sunshi acre farm has at most 35 acres available, so. in other words the total acres must be equal or smaller than 35
so
[tex]\text{tota acres}\leq35[/tex]
now, combine the expressions
[tex]\begin{gathered} total\text{ acres= 1.75x} \\ \text{tota acres}\leq35 \\ 1.75x\leq35 \end{gathered}[/tex]
Step 2
find the possible number of horses farm can support
so, let's solve for x
[tex]\begin{gathered} 1.75x\leq35 \\ \text{divide both sides by 1.75} \\ \frac{1.75x}{1.75}\leq\frac{35}{1.75} \\ x\leq20 \end{gathered}[/tex]
so, the farm can support 20 horses at most
I hope this helps you
