Judy has $100 and Elenore has $75. Judy is saving $5 per day and Elenore is saving $7 per day. (4 points)

Would the equation "5d + 100 = 7d + 75" be used to find out how many days it will take for Judy and Elenore to have the same amount of money saved?

After the number of days it took both to have the same amount of money saved, would they have 162.50 each?

1 answer

Yes, the equation "5d + 100 = 7d + 75" can be used to find out how many days it will take for Judy and Elenore to have the same amount of money saved.

To solve the equation, you would subtract 5d from both sides to isolate the variable:

100 = 7d - 5d + 75

Combine like terms:

100 = 2d + 75

Subtract 75 from both sides:

25 = 2d

Finally, divide both sides by 2:

d = 12.5

So, it would take approximately 12.5 days for Judy and Elenore to have the same amount of money saved.

As for whether they would have $162.50 each, let's calculate their savings after 12.5 days:

Judy's savings = $5 * 12.5 + $100 = $62.50 + $100 = $162.50
Elenore's savings = $7 * 12.5 + $75 = $87.50 + $75 = $162.50

Therefore, yes, after 12.5 days, Judy and Elenore would each have $162.50 saved.