In Math camp, 144 problems were solved in two days. The number of problems solved on the second day is 80% of the number of problems solved during the first day. How many problems were solved on the first day?
numbers solved first day ---- x
on the 2nd day ----- .8x
x + .8x = 144
carry on
To find the number of problems solved on the first day, we need to set up an equation based on the information given in the problem.
Let's assume that the number of problems solved on the first day is "x".
According to the problem, the number of problems solved on the second day is 80% of the number of problems solved on the first day. Since 80% is equivalent to 0.8 as a decimal, we can write this as:
Number of problems solved on the second day = 0.8 * x
Since the total number of problems solved in two days is 144, we can add the number of problems solved on the first and second day together and set it equal to 144:
x + 0.8x = 144
Combining like terms, we simplify the equation to:
1.8x = 144
Now, to solve for "x", we divide both sides by 1.8:
x = 144 / 1.8
Evaluating this equation gives us:
x = 80
Therefore, 80 problems were solved on the first day.