Cindy averaged 88 on the first four tests of the year in her Algebra 2 class. If she scores a 95 on each of the remaining tests, her average will be a 93. Determine how many tests are left in the year.

Respuesta :

Let x represent the number of remaining tests this year.

[4(88) + x(95)]/(4 + x) = 93
352 + 95x = 372 + 93x
2x = 20
x = 10

There are 10 tests left in the year.

How to find the average of a given set of numbers?

The average of a given set of numbers can be found by adding them together and dividing them by the total numbers.

We can find the number of tests left in the year as shown below:

The average of the first four tests = 88.

Total marks that she got for the first four tests = 88*4

= 352

Let the total number of remaining tests be x.

The total number of marks that she scores in the year can be written as:

352 + 95x = 93(x + 4)

352 + 95x = 93x + 372

2x = 20

x = 10

Therefore, we have found that there are 10 tests left in the year.

Learn more about average numbers here: https://brainly.com/question/20118982

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