John. wants to receive a 96% average on 4 math tests .So far he has taken 3 tests.His grades are 94%, 98%, and 98%. Write an equation in terms of to find
find what?
total points for 4 tests @ 96 = 384
points so far: 94+98+98
so, how many does he need on the last exam?
Hint: 96 is the average of 94 and 98
To find the equation in terms of x to find the grade John needs to receive on his fourth math test to achieve a 96% average, we can use the following steps:
Step 1: Determine the total number of tests, including the upcoming fourth test.
Since John has already taken 3 tests, the total number of tests is 3 + 1 = 4.
Step 2: Set up an equation to find the grade John needs to achieve on his fourth test.
Let's denote the grade John needs on his fourth test as x.
To find his average grade, we can sum up all the test grades and divide by the total number of tests:
(94 + 98 + 98 + x) / 4 = 96
Step 3: Solve the equation for x.
Multiply both sides of the equation by 4 to eliminate the fraction:
94 + 98 + 98 + x = 96 * 4
Simplify the equation:
290 + x = 384
Subtract 290 from both sides:
x = 384 - 290
Solve the equation:
x = 94
Therefore, John needs to receive a grade of 94% on his fourth math test in order to achieve a 96% average.