Penny played two games of her favorite game, Bam-Boo. 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?
x + 3/4 x = 280
Where is the answer
To solve this problem, we can set up equations based on the given information.
Let x be the number of points Penny scored in her first game.
According to the problem, the points she scored in her second game was 3/4 of the points from her first game. So, the points Penny scored in her second game is 3/4 * x.
The total points Penny scored from the two games is 280, so we can set up the equation:
x + 3/4 * x = 280
To solve for x, we can combine like terms:
1 + 3/4 = 1 + 3/4 * 4/4 = 4/4 + 3/4 = 7/4
So, the equation becomes:
7/4 * x = 280
To isolate x, we can multiply both sides of the equation by 4/7:
(7/4 * x) * (4/7) = 280 * (4/7)
On the left side of the equation, the 4 and 7 cancel out, leaving us with just x:
1 * x = 280 * (4/7)
Multiplying 280 by 4/7 gives us:
x = 160
Therefore, Penny scored 160 points in her first game.