Answer:
Florence jumped 24 feet.
Step-by-step explanation:
Given that Florence jumped 6 feet farther than twice the number of feet that her brother Michel jumped, making their total 33 feet, we are asked to determine how far Florence jumped.
We can represent the number of feet that her brother Michel jumped as 'x'.
This allows us to set up an equation.
So, this would be mean that Florence is equal to 2x + 6. Since they jump a total of 33 feet, we can add the two sets together and set it equal to 33.
2x + 6 + x = 33
3x + 6 = 33
solve for x
3x = 27
x = 9
Michel jumped 9 feet, and to get Florence's distance, we just substitute the 9 in for x.
Florence's distance = 2(9) + 6
18 + 6 = ?
= 24 feet