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Mathematics 24 Online
OpenStudy (love_to_love_you):

Impossible question Please help, will fan and medal

RhondaSommer (rhondasommer):

can you screenshot whatever this question is?

OpenStudy (love_to_love_you):

Unfortunately not

OpenStudy (love_to_love_you):

A company manufactures three types of cabinets. It makes 110 cabinets each week. In the first week, the sum of the number of type-1 cabinets and twice the number of type-2 cabinets produced was 10 more than the number of type-3 cabinets produced. The next week, the number of type-1 cabinets produced was three times more than in the first week, no type-2 cabinets were produced, and the number of type-3 cabinets produced was the same as in the previous week. In the first week, the number of type-1 cabinets produced was __q1____, the number of type-2 cabinets produced was ___q2____, and the number of type-3 cabinets produced was __q3_____.

OpenStudy (love_to_love_you):

q1 answer choices: a) 10 b) 15 c) 25 d) 30

OpenStudy (love_to_love_you):

q2 answer choices: a) 20 b) 25 c) 30 d) 45

OpenStudy (love_to_love_you):

q3: a) 35 b) 45 c) 55 d) 65

RhondaSommer (rhondasommer):

hold on

RhondaSommer (rhondasommer):

frick

RhondaSommer (rhondasommer):

im confusing myself. let me take a break from this problem and come back to it later

RhondaSommer (rhondasommer):

I thought I had it right but One of my answers isnt an answer choice

OpenStudy (love_to_love_you):

blaaah it's okay I need to get it done pretty soon, I'll just ask someone else

OpenStudy (love_to_love_you):

@Directrix can you help?

Directrix (directrix):

I have worked this 3 times. This line is a bit confusing: The next week, the number of type-1 cabinets produced was three times more than in the first week, no type-2 cabinets were produced, and the number of type-3 cabinets produced was the same as in the previous week. Do you think this is supposed to be a linear programming problem?

RhondaSommer (rhondasommer):

I figured it to work like this but i confused myself y+10=3x x+y=110 3x-y=10 x+y=110 4x=120 X=30 Y+10=3(30) Y+10=90 Y=80 X+y=110 80+30 110

OpenStudy (love_to_love_you):

I'm not sure either :/

Directrix (directrix):

@love_to_love_you Would you look in your text and check this sentence of the problem word by work to see if anything is left out. The next week, the number of type-1 cabinets produced was three times more than in the first week, no type-2 cabinets were produced, and the number of type-3 cabinets produced was the same as in the previous week.

OpenStudy (love_to_love_you):

It is word for word. :/

Directrix (directrix):

X: Type I Y: Type2 Z: Type 3 I have two equations but need a third. x + y + z = 110 x + 2y = z +10

MsBrains (ms-brains):

How about downloading Lightshot and snipping and post the link to the problem? Or using the snipping tool from your desktop and attaching it?

OpenStudy (love_to_love_you):

It's a worksheet

RhondaSommer (rhondasommer):

Thats why i was confused. I figured the only way i could actually solve it is if i lumped the first and second one together

ganeshie8 (ganeshie8):

`The next week, the number of type-1 cabinets produced was three times more than in the first week, no type-2 cabinets were produced, and the number of type-3 cabinets produced was the same as in the previous week.` translates to the 3rd equation 3x + z = 110

Directrix (directrix):

This does not make sense to me: The next week, the number of type-1 cabinets produced was three times more than in the first week, That sounds as if it would be: x = 3*x + z

ganeshie8 (ganeshie8):

\(x_{\text{next week}} = 3x_{\text{previous week}}\)

Directrix (directrix):

x + y + z = 110 x + 2y = z +10 x = 3x + z gives x = -42, y = 68, and z = 84

ganeshie8 (ganeshie8):

3x + z must add up to 110 right ?

ganeshie8 (ganeshie8):

since there are no type-2 cabinets in the second week, and the total must equal 110...

Directrix (directrix):

3*(110 - y - z) + 0*y + z = 110

Directrix (directrix):

x + y + z = 110 x + 2y = z +10 3*(110 - y - z) + 0*y + z = 110 x = 15, y = 30, z = 65

Directrix (directrix):

@love_to_love_you Do not assume that those suggested answers are correct without checking to see if they fit into the original problem statements.

OpenStudy (love_to_love_you):

That's what I put down, thank you everyone!

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