An exam worth 468 points contains 68 questions. some questions are worth 8 points, and
the others are worth 6 points. how many 8 point and 6 point questions are on the test?

30 questions of 8 points     38 of 6 points

Step-by-step explanation:

e = questions worth 8 points

s= questions worth 6 points

e+s = 68     s = 68-e

8*e + 6( 68-e) = 468

8e +408 - 6e = 468

2e +408 = 468

2e = 60

e = 30         30 questions worth 8 points

68-30 = 38           38 questions worth 6 points

\38 questions 6 points

30 questions 8 points

Step-by-step explanation:

I will call 6 points question is a

I will call 8 points question is b

We know that:

a + b = 68 (1)

6a + 8b = 468 (2)

Multiply the (1) by 6 we got

6a + 6b = 408 (3)

Use (3) minus for (2), we got

0 - 2b = -60

-2b = -60

2b = 60

b = 30

so a would = 68 - 30 = 38

So there would be 38 questions 6 points

30 questions 8 points

Hope this help :3

your exact question is kind of difficult to understand, so maybe an example will explain what you're supposed to do? i'll work through the first problem on the worksheet.

suppose you have a tray of 652 brownies, and you have 5 friends that you want to feed without picking favorites. how many brownies can you dole out to each of your friends in equal amounts? how many will be left over for you to eat?

what you're doing here is finding a way to arrange the number 652 as the sum of integer multiple of 5 and some remainder:

here ("q" for quotient) is the number of brownies each of your friends get, and is the remainder. that's the basic idea behind division.

we break up the number 652 into parts so that the leading digit stands on its own:

652 = 600 + 52

first we check if it's possible to hand out exactly 100 brownies to each friend. with 5 friends, this means we want to know if we can take out 500 brownies from the tray. we can do this 1 time because we have 600 brownies to take from, and when we do that we're left with 100 + 52 brownies to divvy up. so we know that

652 = 1*500 + 152

next we want to know if it's possible to hand out exactly 10 brownies per friend. if we can, we have to remove 50 brownies from the tray each time until we can't. we have 152 brownies left, and we know that 3(50) = 150, so

152 = 3*50 + 2

now we have 2 brownies left in the tray. is it possible to hand 1 out to each of your 5 friends? no, you'd need a minimum of 5 brownies to do that. so the last 2 are yours.

putting everything together, we found that

652 = 1*500 + 3*50 + 2

and we can rearrange this to write

652 = 5*100 + 5*30 + 2

652 = 5(100 + 30) + 2

652 = 5*130 + 2

so and .

you might be more accustomed to the table depicting the algorithm. that's just a compact way of organizing what we've done above. you can consult the image i've attached below.

i can not answer the question due to the fact that you spelled "carton" as "cartoon", a cartoon is something you watch on tv, a carton is a box that holds things. and also you've been waiting for this question for a while so why don't you get off your lazy a** and try to figure it out for yourself for once!

step-by-step explanation:

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look above, and leave your comments down below, and don't for get a five stars and a and brainliest xd

sorry for the stars in the middle of words its because it wouldn't let me submit. xd