Questions: Answer the question below by choosing the correct response. A house was originally sold for 150,000. After 10 years, it is now worth 210,000. Which of the following represents the ratio of the original cost to its current value? a. 5 to 7 b. 7 to 5 c. 2 to 5 d. 5 to 2 e. 3 to 7

Answer the question below by choosing the correct response.

A house was originally sold for 150,000. After 10 years, it is now worth 210,000. Which of the following represents the ratio of the original cost to its current value?
a. 5 to 7
b. 7 to 5
c. 2 to 5
d. 5 to 2
e. 3 to 7
Transcript text: 48) Answer the question below by choosing the correct response. A house was originally sold for $\$ 150,000$. After 10 years, it is now worth $\$ 210,000$. Which of the following represents the ratio of the original cost to its current value? a. 5 to 7 b. 7 to 5 c. 2 to 5 d. 5 to 2 e. 3 to 7
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Solution

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Solution Steps

To find the ratio of the original cost of the house to its current value, we need to divide the original cost by the current value. This will give us a fraction that represents the ratio. We then simplify this fraction to find the simplest form of the ratio.

Step 1: Calculate the Ratio

To find the ratio of the original cost to the current value, we compute:

\[ \text{Ratio} = \frac{\text{Original Cost}}{\text{Current Value}} = \frac{150,000}{210,000} \]

Step 2: Simplify the Ratio

Next, we simplify the fraction:

\[ \frac{150,000}{210,000} = \frac{5}{7} \]

Final Answer

The ratio of the original cost to its current value is

\[ \boxed{\frac{5}{7}} \]

Thus, the correct response is option A.

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