11. Answer: cats = $7.33 or less, dogs = $11 or less
Step-by-step explanation:
Let c represent cats and d represent dogs, then
3c + 2d ≤ $22
If he spends $0 on the dogs, then 3c ≤ $22 ⇒ [tex]c\leq \dfrac{22}{3}[/tex] ⇒ c ≤ $7.33
If he spends $0 on the cats, then 2d ≤ $22 ⇒ [tex]d\leq \dfrac{22}{2}[/tex] ⇒ d ≤ $11
Therefore, he can spend a maximum of $7.33 on each cat and a maximum of $11 on each dog.
12. Answer: [tex]\dfrac{2}{5}[/tex]
Step-by-step explanation:
2 pounds of trail mix divided by 5 friends
= 2 pounds trail mix ÷ 5 friends
[tex]= \dfrac{2\text{ pounds trail mix}}{5\text{ friends}}[/tex]
[tex]= \dfrac{2}{5} \text{ pounds trail mix per friend}[/tex]
