Question

The city imposed a 0.08% tax on the value of dinosaur collections. Sheila had to pay $12 in dinosaur tax. How much is her dinosaur collection worth?

Answer 1

Answer:

$15,000

Step-by-step explanation:

Let the value of Shelia's dinosaur collection be x dollars.

This is 100% of the value.

Set up a ratio of value to percentage:

$\implies \sf \ x\:\: to \:\:100\%= \ 12 \:\:to \:\:0.08\%$

$\implies \sf x:100=12:0.08$

$\implies \sf \dfrac{x}{100}=\dfrac{12}{0.08}$

$\implies \sf \dfrac{x}{100}=150$

$\implies \sf \dfrac{x}{100} \cdot 100=150\cdot 100$

$\implies \sf x=15000$

Therefore, Shelia's dinosaur collection is worth $15,000.

Check

Find 0.08% of $15,000:

$\begin{aligned} \implies \sf 0.08\% \:\: of \:\:\ 15,000 & = \sf \dfrac{0.08}{100} \times 15000\\\\ & = \sf \dfrac{0.08 \times 15000}{100}\\\\ & = \sf \dfrac{1200}{100}\\\\ & = \sf 12\end{aligned}$

Therefore, the tax on Shelia's dinosaur collection is $12 which verifies that Shelia's dinosaur collection is worth $15,000.

Answer 2

Now we have to,

→ find the cost of her dinosaur collection.

Let's solve the problem,

→ x : 100 = 12 : 0.08

→ (x/100) = (12/0.08)

→ x/100 = 150

→ x = 150 × 100

→ [ x = $15000 ]

Hence, Sheila's collection is $15000.