They accepted the offer with alacrity.

他们欣然接受了建议。

《牛津词典》

First, move with alacrity.

首先，动作敏捷。

youdao

He accepted my invitation with alacrity.

他欣然接受我的邀请。

youdao

"There is no prospect that the DTA proceedings will be conducted with alacrity or certainty, " Waxman replied.

NPR: Supreme Court Hears Guantanamo Arguments

For their willingness to work for so little, they are accepted with alacrity.

ECONOMIST: Plenty of muck, not much money

The Treasury, of course, must move with alacrity in removing those impaired mortgages and other exotic instruments off of bank balance sheets.

FORBES: Magazine Article