As deputy leader, Blum was part of the first all-woman team to ascend Alaska's Mount Denali in 1970. She participated in a 1976 expedition up Mount Everest as part of the American Bicentennial Everest Expedition, but did not reach the summit. In 1978, she organized a team of eleven women to climb the tenth highest mountain in the world, Annapurna (I) in Nepal which, until then, had been climbed by only eight people (all men). It was called American Women's Himalayan Expeditions - Annapurna. They raised money for the trip in part by selling T-shirts with the slogan A woman's place is on top. The first summit team, comprising Vera Komarkova and Irene Miller (now Beardsley) and Sherpas Mingma Tsering and Chewang Ringjing, reached the top at 3:30 p.m. on October 15, 1978. The second summit team, Alison Chadwick-Onyszkiewicz and Vera Watson, died during this climb. After the event, Blum wrote a book about her experience on Annapurna, called Annapurna: A Woman's Place.