Let's carefully examine the equations given by both zookeepers to solve for Bernard's speed when he is healthy, denoted as [tex]\( x \)[/tex].
### First Zookeeper's Equation:
The first zookeeper provided the equation:
[tex]\[ x - 41.5 = 13.5 \][/tex]
To solve for [tex]\( x \)[/tex], we need to isolate [tex]\( x \)[/tex] on one side of the equation:
1. Add 41.5 to both sides of the equation to isolate [tex]\( x \)[/tex]:
[tex]\[ x - 41.5 + 41.5 = 13.5 + 41.5 \][/tex]
2. Simplify both sides:
[tex]\[ x = 55.0 \][/tex]
Thus, according to the first zookeeper, Bernard's healthy speed is [tex]\( 55.0 \)[/tex] units.
### Second Zookeeper's Equation:
The second zookeeper provided the equation:
[tex]\[ 41.5 + 13.5 = x \][/tex]
Since the left side of the equation directly sums the values, we can immediately write:
1. Sum the numbers on the left side:
[tex]\[ 41.5 + 13.5 = 55.0 \][/tex]
Thus, according to the second zookeeper, Bernard's healthy speed is also [tex]\( 55.0 \)[/tex] units.
### Conclusion:
Both zookeepers are correct since they both find that Bernard's healthy speed is [tex]\( 55.0 \)[/tex] units. The first zookeeper used a rearranged equation that ultimately isolates [tex]\( x \)[/tex], and the second zookeeper used a more direct approach. Both methods lead to the same result.
Hence, Bernard's healthy speed is [tex]\( 55.0 \)[/tex] units as determined by both equations.
