Question

Casey and Jasmine are walking down the 7th grade hall together. Jasmine is taller than Casey, so Casey takes 5 steps for every 4 of Jasmine’s. A. Write several ratios for the number of Casey’s steps to the number of Jasmine’s steps. Describe any patterns. B. When they reach the end of the hall, they have taken 117 steps together. How many steps did each student take? Explain your reasoning in words.

Answer 1

Step-by-step explanation: Let's start off by adding 4+5 which are the steps they take together initially (Cassey takes 5 steps and Jazmine takes 4)

Now we will divide 117 ÷ 9 which will give us the number of ratios we need to compare for each person.

So, 117 ÷ 9 = 13.

Ratios: Cassey 5,10,15,20,25,30,35,40,45,50,55,60,65 (13)

Jazmine 4,8,12,16,20,24,28,32,36,40,44,48,52 (13)

Now we take the last ratio of each and add them 65 + 52 = 117.

Therefore, Cassey took 65 steps and Jazmine took 52.

You could also just multiply 5 x 13 =65 and 4 x 13 =52.