Question

1. Halfway through the hockey season, a team has won 50 percent of the 40 games played. Their goal is to win 60 percent of their games. How many more games must they win?
2. On a 60- question test, Andre answered all the questions. He had 50 percent more questions correct than he had wrong. How many questions did he have correct?

Answer 1

please help

Answer 2

1.
Let examine the data we have.
Team has already played 40 games and it is half-season. That means the season has 40*2=80 games.
Their goal is to win 60% of the games through the whole season. That means, they have to win 60% of 80 which is 0.6*80= 48 games.
They already won 50% of 40 games played, meaning they won 0.5*40 = 20 games.
If they won 20 games already, and need to win a total of 48 games, you can calculate how much more games they need to win;)

Answer 3

thanks!

Answer 4

how about 2

Answer 5

2.
Let's mark the correct answer with x and incorrect answers with y.
Andre marked all questions (there are no unanswered, only correct and incorrect), so our equation is:
x+y = 60

One more piece of information we know is the ratio between correct and incorrect answers. Andre had 50% more correct then incorrect:
y = x + 0.5x
y = 1.5x

Now we combine the two equations:
x + y = 60
x = 1.5y

We insert the second equation in the first and we get:
1.5y + y = 60
2.5y = 60

From here we will get y (incorrect questions). Again, that value insert in one of the equations and we get x (correct questions).

Hope this helps;) Feel free to ask if you don't understand something.

Answer 6

thanks so much! you are like my new tutor! I go to tutoring, but it doesn't really help, and I have so much stuff that I need help with! im mostly bad with problem solving. I did everything in my book that I understood, but there's lots of things that I don't understand! thanks for being so kind and nice to me! this must be really easy for you, right? im in grade 8( going to grade8). thanks a lot!