Respuesta :
Answer:
Thus, a golden retriever should be given 19 teaspoon of medicine.
Step-by-step explanation:
- Given that a golden retriever weighing 85 pounds has diarrhea. His medicine is prescribed as 1 teaspoon per 5 pounds.
- To find how much medicine should he be given.
- Assign a variable. Write a sentence that gives the information to find it.
- Translate into a proportion be careful of the units.
- Multiply both sides by the Least Common Denominator and simplify. Check the answer.
Step 1 of 3
Write the data in mathematical form and simplify.
Let x=the number of teaspoon
If 1 teaspoon medicine is 5 pounds then 85 pounds is how many teaspoon of medicine.
Translate the statement into proportion.
[tex]\begin{aligned}\frac{\text { pounds }}{\text { teaspoon }} &=\frac{\text { pounds }}{\text { teaspoon }} \\\frac{5}{1} &=\frac{85}{x}\end{aligned}[/tex]
Step 2 of 3
Multiply both sides by x and simplify
[tex]$x(5)=\frac{85}{\bcancel{x}}(\bcancel{x})[/tex]
5x=85
Divide by 5,
[tex]x=\frac{85}{5}[/tex]
Simplify, x=19
Step 3 of 3
Check the answer.
Substitute x=19 in original proportion and simplify.
[tex]$\begin{aligned}\frac{5}{1} &=\frac{85}{x} \\5 &=\frac{85}{19}\end{aligned}$\\ \\ Hence, $5=5$, True[/tex]
