Question

Julie and Kristain are partners in a local sporting goods shop. They need 51,000 to start the business. They invested in the ratio 5:12, respectively (meaning Julie has 5 were Kristen has 12). How much did each of them invest?

A. Julie: $17,000, Kristain: $34,000
B. Julie: $20,000, Kristain: $31,000
C. Julie: $15,000, Kristain: $36,000
D. Julie: $25,000, Kristain: $26,000

Answer 1

After dividing the total investment of $51,000 by the sum of the ratio parts (17), we determine one part is worth $3,000. Multiplying this by the number of parts attributed to Julie and Kristain gives us their individual investments: Julie invested $15,000, and Kristain invested $36,000.

Step-by-step explanation:

To find out how much Julie and Kristain invested, we need to calculate their individual contributions based on the ratio 5:12. Together, they need a total of $51,000 for the business. To find out the value of one part of the ratio, we divide the total amount of investment by the sum of the ratio parts:

5 parts + 12 parts = 17 parts

Julie and Kristain's total investment: $51,000

Value of one part: $51,000 ÷ 17 = $3,000

Now, we multiply the value of one part by the number of parts each person has:

• Julie's investment: 5 parts × $3,000 = $15,000
• Kristain's investment: 12 parts × $3,000 = $36,000

Hence, the correct answer is option C: Julie invested $15,000 and Kristain invested $36,000.