Annie likes to walk 2 steps, jump 2 steps and then skip 2 steps. If she does this pattern over and over again for a total of 52 steps, how many jumping steps will she make?
To find the number of jumping steps Annie will make, we need to determine how many times she completes the pattern and calculate the number of jumping steps in each pattern.
In Annie's pattern, she walks 2 steps, jumps 2 steps, and skips 2 steps. This means one complete pattern consists of walking + jumping + skipping = 2 + 2 + 2 = 6 steps.
To calculate the number of patterns Annie completes in 52 steps, we can divide 52 by 6: 52 รท 6 = 8 remainder 4.
This means that Annie completes 8 full patterns of 6 steps and has an additional 4 steps remaining.
In each pattern, Annie jumps 2 steps. So, in the 8 full patterns, she jumps 2 steps * 8 patterns = 16 steps.
Therefore, Annie will make a total of 16 + 2 = 18 jumping steps in 52 steps.
To find out how many jumping steps Annie will make, we need to calculate the number of times the pattern of walking, jumping, and skipping is repeated.
Let's break down the pattern:
- Walking: 2 steps
- Jumping: 2 steps
- Skipping: 2 steps
Thus, the total number of steps in one complete pattern is 2 + 2 + 2 = 6 steps.
Since Annie takes a total of 52 steps, we need to find out how many times this pattern is repeated in 52 steps.
Dividing 52 by 6, we get 8 with a remainder of 4.
So, Annie completes the pattern 8 times and has 4 remaining steps.
Since jumping is the second part of the pattern, she will make 2 jumps in each complete pattern.
Therefore, the number of jumping steps Annie will make is 8 x 2 = 16 jumps.