At the end of five days, Joseph had saved $30. If each day he saved $2 more than the day before, how much money did Joseph save each day?
Day 1: $2
Day 2: $4
Day 3: $6
Day 4: $8
Day 5: $10
Does that add up to $30?
day 1: $2
day 2: $4
day 3: $6
day 4: $8
day 5: $10
To find out how much money Joseph saved each day, we can set up an equation based on the given information.
Let's assume Joseph saved x dollars on the first day.
On the second day, he saved $2 more than the first day's savings, which is (x + $2).
On the third day, he saved $2 more than the second day's savings, which is ((x + $2) + $2) = (x + $4).
Similarly, we can calculate the fourth day's savings: (x + $6).
Finally, the fifth day's savings would be (x + $8).
According to the question, Joseph saved a total of $30 in five days. So, we can write the equation:
x + (x + $2) + (x + $4) + (x + $6) + (x + $8) = $30.
Now we can solve this equation to find the value of x, which will represent Joseph's savings on the first day.