At April $30,$ partners' capital balances in Cullumber Company are G$.$ Donley $$55,120,$ C$.$ Lamar $$50,880,$ and J$.$ Pinkston $$19,080.$ The income sharing ratios are $5$:$4$:$1,$ respectively. On May $1,$ the PDLT Company is formed by admitting J$.$ Terrell to the firm as a partner.

$($b$)$

Your answer is partially correct.

Lamar's capital balance is $$33,920$ after admitting Terrell to the partnership by investment. If Lamar's ownership interest is $20\%$ of total partnership capital, what were $(1)$ Terrell's cash investment and $(2)$ the bonus to the new partner?

$(1)$ Terrell's cash investment $

$(2)$ Bonus to new partner