guess and check math problem.....?

Question

In te champion basketball game, Corey scored 25 points total on 2-point and 3-point goals. He hit 5 more 2-pointers than 3-pointers. How many of each did he hit?

Answer 1

let x be the number of 2-pointers and y the 3-pointers.

2x +3y = 25
x= y +5

so : 2(y+5) +3y =25
2y +10 +3y = 25
5y = 15
y= 3
x= 3+5 = 8
so 8 2-pointers and 3 3-pointers.

Answer 2

In math, there's no such thing as "guess and check." Guess and check is for lazy bums. Let's solve your problem using a linear system.

Call x the number of 2 point goals Corey scored, and y the number of 3 point goals Corey scored.

Now you have 2x+3y=25
Also, y+5=x , which says that he hit 5 more 2 pointers than 3 pointers.


In the second equation, you have y+5=x Switch the sides and get x=y+5. Now use the Theory of Substitution. Substitute y+5 for every time you see x in the first equation, getting

2(y+5)+3y=25
Distribution: 2y+10+3y=25
Combine Like Terms: 5y=15
Divide each side by 5: y=3

That means that Corey hit 3 three-pointers. Since you already said that Corey hit 5 more two-pointers than 3-pointers, it goes to
say that Corey hit 8 two-pointers.

I hope that helps.

Answer 3

I wouldn't do guess and check. I would let x = # of 2 pointers and y = # of 3 pointers. Then set up 2 equations, each one representing the two facts: 1) The total number of points (not baskets - be careful!) is 25 and 2) there are 5 more of the x quantity than the y quantity.

It's a little system of equations that you can solve with a variety of methods.

Answer 4

..just heard about guess-and-check a couple of days ago, & have hated it ever since!

he had to have hit less than 13 2-pointers (2*13=26)
he had to have hit less than 9 3-pointers (3*9=27)
he had to have hit more than 5 2-pointers (5-5=0)

12*2+7*3=
11*2+6*3=
10*2+5*3=
9*2+4*3=
8*2+3*3=
7*2+2*3=
6*2+3=
5*2=
but that's not guess-and-check, is it?
OK try 6 2-pointers (half of 12)
6*2+1*3=15
too low, try 9 2-pointers (halfway between 6 & 12)
9*2+4*3=18+12=30
'way too high! answer must be (7,2) or 8,3)

I personally think it's a lot easier to learn algebra.

Answer 5

Call the number of 2 - point goals x, the number of 3 - point goals y.

2x+3y = 25
x=y+5

Solve this pair of equations by plugging in x in the second equation:

2(y+5)+3y=25
5y=15
y=3

then, since x = 5+y, x=8

So, Corey hit 8 2 pointers and 3 3 pointers.

Answer 6

i'm somewhat puzzled with the aid of "The forth bag has 8 greater peas then the forth" so having a sprint difficulty fixing. yet in reality you're able to be able to desire to establish equations for each bag. enable bag one be X because of the fact that's what you're attempting to sparkling up. and fill interior the rest in accordance to the archives given. bag one million=X "the 2nd bag has 5 greater peas then the 1st." bag 2 =X+5 "The 0.33 bag has 6 greater peas then the 2nd." bag 3= bag 2 + 6 = (X+5)+6 The fourth bag has 8 greater peas then the 0.33?? Bag 4= bag 3+8 = (X+5+6)+8 etc. then you extremely take the equation for the final bag, enable's say that's X+5+6+8 = X+19 and set it equivalent to the completed type of peas, specifically 195, and sparkling up for X. So, 195=X+19 X=195-19 X=176 different than it extremely is in all probability no longer the superb answer because of the fact i'm unsure what you meant to assert once you mentioned "The forth bag has 8 greater peas then the forth."

Answer 7

its sunday
i dont do math on sundays
but i do have to do math home work
perhaps i will do math on sunday
perhaps not
it all depends on how i feel
u kno what i mean?
and i think after im done with my math i will have dinner and maybe a bowl of ice cream
maybe for dinner i shall have mcdonalds
i wonder how those new snack wraps are
have u had them?
they look good
r they big or small?
maybe ill have a snickers mcflurry to go along with it
and yeh
im prolly gonna watch fox tonite to
and then do my math
it all dpends on how i feel
well im gonna go now
but maybe i will keep answering this question
perhaps i shall keep typing
well maybe perhaps not
it all depends on how i feel
u know what i mean?

Answer 8

2x8=16
3X3=9
total:25

Answer 9

shouldnt you be doing ur own homework?