Marnie practiced her basketball dribbling.After two tries she had bounced the ball 88 times. In the second try she had two few bounces than 8 times the number of bounces she had on the first try . How many bounces did she have on the second try?

3 answers

x1 = first try

x2 = second try

After two tries she had bounced the ball 88 times means:

x1 + x2 = 88

On the second try she had 2 fewer bounces than 8 times the number of bounces she had on the first try means:

x2 = 8 x1 - 2

Now:

x1 + x2 = 88

Replace x2 with 8 x1 - 2 in this equation

x1 + 8 x1 - 2 = 88

9 x1 - 2 = 88

Add 2 to both sides

9 x1 = 90

Divide both sides by 9

x1 = 10

x2 = 8 ∙ x1 - 2

x2 = 8 ∙ 10 - 2

x2 = 80 - 2

x 2 = 78
1st try:X bounces.
2nd try: 8x-2 bounces.
x + 8x-2 = 88
X = 10
8x-2 = 8*10 - 2 = 78.
What grade level is this question ? Thanks