Sarah competes in a long jump competition her first jump is 4.25 m her best jump is 4% more than this however her best jump is 15% lower than the winning jump work out the length of the winning jump
.85 w = 4.25 * 1.04
Best jump = 4.25 + 0.04*4.25 = 4.42 m.
Winning jump = X meters.
X - 0.15X = 4.42.
0.85X = 4.42,
X = 5.2 m.
To find the length of the winning jump, we need to calculate Sarah's best jump first.
Sarah's best jump is 4% more than her initial jump of 4.25 m. To find the 4% increase, we can multiply 4.25 by 1.04 (since 4% can be represented as 1 + 0.04).
4.25 m * 1.04 = 4.42 m
So, Sarah's best jump is 4.42 m.
Now, we know that Sarah's best jump is 15% lower than the winning jump. Let's assume the length of the winning jump is "W" (in meters).
Sarah's best jump (4.42 m) is equal to 85% of the winning jump (W).
Mathematically, we can represent this as:
4.42 m = 0.85W
To solve for W (the length of the winning jump), we can rearrange the equation:
W = 4.42 m / 0.85
W ≈ 5.2 m
Therefore, the length of the winning jump is approximately 5.2 meters.