Final answer:
The correct amounts of investment for Maria, Isabel, and Lizbeth are $336,000, $504,000, and $560,000 respectively, based on the ratio 6:9:10 of a $1,400,000 total investment. The answer choices provided do not match the calculated values.
Step-by-step explanation:
To determine the amount of money each sister is investing in the new restaurant with a total investment of $1,400,000 at a ratio of 6:9:10, we first need to calculate the sum of the parts in the ratio, which is 6 + 9 + 10 = 25 parts. Then we find the value of one part by dividing the total amount of money by the total number of parts. So, each part is worth $1,400,000 ÷ 25 = $56,000. Now we can find out each sister's investment by multiplying the number of parts with the value of one part.
Maria invests 6 parts, thus her investment is 6 parts × $56,000 = $336,000.
Isabel invests 9 parts, hence her investment is 9 parts × $56,000 = $504,000.
Lizbeth invests 10 parts, so her investment is 10 parts × $56,000 = $560,000.
After calculating, it is apparent that none of the answer choices provided by the student are correct, therefore we need to inform the student that the right distribution of funds among Maria, Isabel, and Lizbeth would be $336,000, $504,000, and $560,000 respectively.