Answer:
The system of equations can be used to determine the number of days it will take for both to complete the same number of daily sit-ups?
32 + 2d = 28 + 3d
The number of days it will take for both to complete the same number of daily sit-ups is 4 days
Explanation:
Let the number of days it would take them to do daily sit ups be represented by d
At the start of the challenge, Marisol is able to complete 32 sit-ups and plans to increase the number of sit-ups she completes daily by 2.
= 32 + 2d
At the start of the challenge, Kelly is able to complete 28 sit-ups and plans to increase the number of sit-ups she completes daily by 3.
= 28 + 3d
We equate both Equations together
Marisol = Kelly
32 + 2d = 28 + 3d
The system of equations can be used to determine the number of days it will take for both to complete the same number of daily sit-ups is given as:
32 + 2d = 28 + 3d
Solving further:
We collect like terms
32 - 28 = 3d - 2d
d = 4 days
Hence, it will take for both of then 4 days to complete the same number of daily sit-ups .