Janice had an average bowling score of 85. When she played her next game she scored 99 – her highest score yet! this raised her average to 87. What would she have to score in her next game to raise her average to 88?.

Respuesta :

The score in the next game that will raise her average to 88 is 106.

To calculate the score in the next game, first, we need to calculate the number of games played by Janice.

Formula:

  • (85n+99)/(n+1) = 87............. Equation 1

Where:

  • n = number of games played by Janice.

Solve for n.

  • 85n+99 = 87(n+1)
  • 85n+99 = 87n+87

Collect like terms

  • 87n-85n = 99-87
  • 2n = 12
  • n = 12/2
  • n = 6.

For her average to raise to 88, she needs to score y.

  • [85(6)+y]/(6+1) = 88
  • (510+y)/7 = 88
  • y+510 = 616
  • y = 616-510
  • y = 106.

Hence, The score in the next game that will raise her average to 88 is 106.

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