Question

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. 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. Which 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?

Answer 1

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

Step-by-step 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 .