Question

PLSSS HELP! THIS IS EXTREMELY URGENT!!!!!!!

Sean and Emily love making origami. Sean can make a paper crane in 6 minutes, and Emily can make a paper crane in 8 minutes. One day, they decided to make some paper cranes together. They started making cranes at the same time, and after a while, they have 112 total paper cranes. How many of those paper cranes did Sean make?

Answer 1

Answer: 64

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Step-by-step explanation:

Sean can make 1 paper crane in 6 minutes. His unit rate is 1/6 of a paper crane per minute.

Emily's unit rate is 1/8 of a paper crane per minute.

Their combined unit rate is 1/6 + 1/8 = 4/24 + 3/24 = 7/24 of a paper crane per minute.

Each minute, they can make 7/24 of a paper crane. Put another way, every 24 minutes, they can make 24*(7/24) = 7 cranes.

Let x be the number of minutes needed to make 112 paper cranes.

Multiply the combined unit rate with x and set it equal to 112

(combined unit rate)*(amount of time) = amount made

(7/24)x = 112

x = 112*(24/7)

x = 384

They need 384 minutes if they work together to make 112 paper cranes.

Sean can make 384/6 = 64 paper cranes while Emily can make 384/8 = 48 paper cranes. As a check, 64+48 = 112 to help confirm the answer.