Question

Solve Proportions In the following exercises, solve.

Answer 1

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.

$\begin{aligned}\frac{\text { pounds }}{\text { teaspoon }} &=\frac{\text { pounds }}{\text { teaspoon }} \\\frac{5}{1} &=\frac{85}{x}\end{aligned}$

Step 2 of 3

Multiply both sides by x and simplify

$x(5)=\frac{85}{\bcancel{x}}(\bcancel{x})$

5x=85

Divide by 5,

$x=\frac{85}{5}$

Simplify, x=19

Step 3 of 3

Check the answer.

Substitute x=19  in original proportion and simplify.

$\begin{aligned}\frac{5}{1} &=\frac{85}{x} \\5 &=\frac{85}{19}\end{aligned} \\ \\ Hence, 5=5 , True$