this question is from advanced accounting class, thanks for answeing with the steps.

a 2. The partners of Apple, Bere, and Carroll LLP share net income and losses in a 5:3:2 ratio, respectively. The capital account balances on January 1, 2018, were as follows: Apple, capital Bere, capital Carroll, capital Total partners' capital $ 25,000 75,000 50.000 $150,000 1 The carrying amounts of the assets and liabilities of the partnership are the same as their current fair values. Dorr will be admitted to the partnership with a 20% capital interest and a 20% share of net income and losses in exchange for a cash investment. The amount of cash that Dorr should invest in the partnership is