Esther had an average of 72 on her first four maths test. After taking the next test, her average dropped to 70. Which of the following is her most recent test grade

(68+72)/2 = 70

Or, since 70 is the average,
72 = 70+2
68 = 70-2

To find Esther's most recent test grade, we need to analyze the given information. We know that Esther had an average of 72 on her first four math tests and that her average dropped to 70 after taking the next test.

Let's assign variables to the grades:

Let x be the grade on the most recent test.

Now, let's calculate the average of the first four tests:

(72 + 72 + 72 + 72) / 4 = (288) / 4 = 72

Since the average of her first four tests is 72, and her average dropped to 70 after the next test, we can set up the following equation:

(72 + 72 + 72 + 72 + x) / 5 = 70

Simplifying this equation:

(288 + x) / 5 = 70

To isolate x, we can multiply both sides of the equation by 5:

288 + x = 70 * 5

288 + x = 350

Subtracting 288 from both sides:

x = 350 - 288

x = 62

Therefore, Esther's most recent test grade is 62.