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Celina · 2006-03-01 20:28:30

A total of m matches is needed to fill 30 matchboxes with the same number of matches in each box.

a) How many matches are in each box?

b) If 3 fewer matches are put into each box, there are enough for 32 boxes. What is the value of m?

I think that for (a) the equation would be $\frac{m}{30}$ ....but i'm not sure. For (b), i have no idea what to do.

daphysicist · 2006-03-01 22:27:21

According to your value of $\frac{m}{30}$ lets see: $\frac{m}{30 p}$

No you cant.

Last edited by daphysicist (2006-03-01 22:31:15)

Chris · 2006-03-01 22:43:28

Well, without considering (b), then m can be anything that satisfies:

$\frac{m}{30}=\text{interger}$

Which means m = 30, 60, 90, 120 ...

They should have asked the question in the reverse order, since you need to determine m before you can determine the answer to (a).

Ok. Look at the conditions you are given. First, you have 30 boxes filled with m matches. There are x number in each box. So:

$m = 30x$

Next, each box has 3 less (x-3) and a total of 32 boxes. So:

$m = 32(x-3)$

Therefore:

$30x = 32(x-3)$
$x = 48$

So initially, there are 48 matched in each box. So:

$m = 30x = (30)(48) = 1440$

Celina · 2006-03-02 02:24:26

Thanks alot, that makes sense.

Celina · 2006-03-02 16:18:21

A train travels a certain journey and is supposed to arrive at midday. When its average speed is 40km/h,, it arrives at 1 p.m. When its average speed is 48km/h, it arrives at 11 a.m. What is the length of the journey?

I have no idea what to do for this one either.

Celina · 2006-03-06 04:52:48

uhhhh....HELLO!!!!!! anyone here to help me?

Chris · 2006-03-06 17:39:21

Your question should be a new topic.

Celina · 2006-03-07 04:25:47

okay..........thanks for all the help by the way, i really appreciate it.

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#1 2006-03-01 20:28:30

Linear Equation Help

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Re: Linear Equation Help

#3 2006-03-01 22:43:28

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#4 2006-03-02 02:24:26

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#5 2006-03-02 16:18:21

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