Each day, Calvin saves $7 and Dave saves $3 more than Calvin, Calvin starts to save one week earlier than Dave. How much money has Calv saved when he saves $59 less than Dave?
Let's start by figuring out how much Dave saves each day:
Dave saves $7 + $3 = $10 per day
Now, let's figure out when Dave starts saving:
If Calvin starts one week earlier than Dave, that means he starts saving 7 days earlier.
Now, let's figure out how many days each person has been saving:
Let's say Calvin has been saving for x days.
Dave has been saving for x - 7 days (since he started a week later).
Now, let's set up an equation to figure out how much money each person has saved:
Calvin: $7x
Dave: $10(x - 7)
We also know that Calvin saves $59 less than Dave, so:
$7x + $59 = $10(x - 7)
Now, we can solve for x:
$7x + $59 = $10x - $70
$129 = $3x
x = 43
So Calvin has been saving for 43 days, and Dave has been saving for 36 days.
Now, we can figure out how much money Calvin has saved:
$7 per day * 43 days = $301
And we can check that Calvin saves $59 less than Dave:
$10 per day * 36 days = $360
$360 - $59 = $301
Therefore, Calvin has saved $301.