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Penny played two games of Pac-Man. The points she scored in her second game was 3/4 of the points she scored in her first game. She scored a total of 280 points from the two games. How many points did she score in her first game?

Respuesta :

Answer:

160 points

Step-by-step explanation:

Let p = number of points scores in the first game.

3/4 p = number of points in the second game.

p + 3/4p = 280

4/4p + 3/4p = 280

7/4p = 280

p = 280 ÷ 7/4

p = 280 · 4/7

p = 160

Lanuel

Since Penny scored a total of 280 points from the two games, she scored 40 points in her first game.

  • Let the points scored in the first game be F.
  • Let the points scored in the second game be S.

Given the following data:

  • Total points = 280 points

To calculate how many points she scored in her first game:

Translating the word problem into an algebraic expression, we have;

[tex]S = \frac{3}{4} F[/tex]   ...equation 1

[tex]S + F = 280[/tex]   ....equation 2

Substituting eqn 1 into eqn 2, we have:

[tex]\frac{3F}{4} + F = 280\\\\3F + 4F= 280\\\\7F = 280\\\\F = \frac{280}{7}[/tex]

F = 40 points

Find more information: https://brainly.com/question/4728821

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