Question

Ben wants to get a 94 in math class. His grade will be the average of two test scores. He scored an 89 on the first test. What grade does Ben need to get on his second test to meet his goal?

Answer 1

Answer: 99

Concept:

Here, we need to know the idea of the average value.

In mathematics, average refers to the sum of a group of values divided by n, where n is the number of values in the group.

Average = Sum of value / number of values

Solve:

Given information

Scoring on first test = 89

Scoring on second test = x

Number of tests = 2

Average = 94

Given expression

Average = Sum of value / number of values

Substitute values into the expression

94 = (89 + x) / 2

Multiply 2 on both sides

94 × 2 = (89 + x) / 2 × 2

188 = 89 + x

Subtract 89 on both sides

188 - 89 = 89 + x - 89

`\boxed{x=99}`

Hope this helps!! :)

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Answer 2

Ben needs to get a 99% on his second test

Explanation:

The average is the sum of both test scores, divided by the total number of test scores (2).

Let x by the grade Ben must receive on his second test.

(89 + x)/2 = 94

Multiply by 2 on both sides

89 + x = 188

Subtract 89 on both sides

x = 99

Check work:

(89 + 99)/2 = 188/2 = 99