Question

Judy has $100 and Elenore has $75. Judy is saving $5 per day and Elenore is saving $7 per day

After the number of days it took both to have the same amount of money saved, how much money do they have each?
is it 275 , 162.50, 175, 15 or 325

Answer 1

To find the number of days it takes for Judy and Elenore to have the same amount of money saved, we need to set up an equation.

Let x be the number of days.
Judy's amount of money saved after x days is 100 + 5x.
Elenore's amount of money saved after x days is 75 + 7x.

To find the number of days it takes for them to have the same amount of money saved, we set the two equations equal to each other and solve for x:

100 + 5x = 75 + 7x
Subtract 5x from both sides:
100 = 75 + 2x
Subtract 75 from both sides:
25 = 2x
Divide both sides by 2:
x = 12.5

After 12.5 days, they will have the same amount of money saved.

To find out how much money they each have after 12.5 days, we substitute this value back into the equations:

Judy's amount of money saved after 12.5 days = 100 + 5(12.5) = 100 + 62.5 = 162.5

Elenore's amount of money saved after 12.5 days = 75 + 7(12.5) = 75 + 87.5 = 162.5

Therefore, they each have $162.50 saved after the same number of days. So, the correct answer is 162.50.