Q:

Darnell completed 35 push-ups in one minute, which is 8 more than his previous personal best. Mia completed 6 more push-ups than Katie. If Mia completed the same amount of push-ups as Darnell completed during his previous personal best, how many push-ups did Katie complete? Let d represent the number of push-ups Darnell completed during his previous personal best and k represent the number of push-ups Katie completed.Use tape diagrams to solve the problem.

Accepted Solution

A:
Answer:33Step-by-step explanation:Here, d represents the number of push-ups Darnell completed during his previous personal best and k represent the number of push-ups Katie completed,∵ According to the question,Darnell's current push ups = d + 8,Mia's push-ups  = d,Katie push-ups = d + 6Again according to the question,d + 8 = 35 ⇒ d = 27,Hence, the number of push-ups completed by Katie, k = d + 6 = 27 + 6 = 33