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

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.

Answer 2

$15,000

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 (x)/(100)=(12)/(0.08)`

`\implies \sf (x)/(100)=150`

`\implies \sf (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 (0.08)/(100) * 15000\\\\ & = \sf (0.08 * 15000)/(100)\\\\ & = \sf (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.