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.

Question

Thomas Boyer

Mathematics

19 March, 03:51

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.

+2

Answers (1)

Know the Answer?

Kian Lindsey · Answer 1

33

Step-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 + 6

Again according to the question,

d + 8 = 35 ⇒ d = 27,

Hence, the number of push-ups completed by Katie, k = d + 6 = 27 + 6 = 33