Question

Whitney, John, and Chad invested $30,000, $45,000, and $75,000, respectively, to start an e-learning business. They realized that they required an additional $10,800 for operating the business. How much did each of them have to individually invest to maintain their original investment ratio?

a. What is Whitney's additional investment?

Answer 1

• Final answer:
• Whitney's additional investment to maintain the original investment ratio in the e-learning business is $2,160.
• Step-by-step explanation:
• The question asks how much more money Whitney, John, and Chad need to invest to maintain their original investment ratio if they need an additional $10,800 for their e-learning business. To solve this, we first need to find the total initial investment, which is $30,000 (Whitney) + $45,000 (John) + $75,000 (Chad) = $150,000. Then, we calculate the fraction of the total investment that each person had originally contributed (Whitney's fraction is $30,000/$150,000, John's is $45,000/$150,000, and Chad's is $75,000/$150,000). To maintain the same ratios, they should also split the additional $10,800 according to these fractions.
• Whitney's additional investment is calculated by multiplying her fraction by the additional amount needed: ($30,000 / $150,000) × $10,800 = $2,160. Therefore, Whitney's additional investment should be $2,160 to maintain the original investment ratio.