Question

1. coral scored 87, 95, 86, and 94 on her first four math tests. what score does coral need to get on her fifth test to have an average of exactly 92 on her math tests?

98
99
97
100

Explanation:

Step1: Find the sum of the first four scores

The first four scores are 87, 95, 86, and 94. We sum them up: $87 + 95 + 86 + 94$.
Calculating that: $87+95 = 182$, $86 + 94 = 180$, then $182+180 = 362$.

Step2: Let the fifth score be \( x \), use the average formula

The average of five scores is 92, so the total sum of five scores should be \( 92\times5 = 460 \).
We know the sum of the first four is 362, so we set up the equation: $362 + x = 460$.

Step3: Solve for \( x \)

Subtract 362 from both sides: $x = 460 - 362 = 98$.

Answer:

98