Maths question?

Question

Lisa packs pencils in boxes.
She packs 12 pencils in each box.
Lisa packs X boxes of pencils.

a) Give an expression, in terms of X, for the number of pencils Lisa packs.

Lisa also packs pens in boxes.
She packs 10 pens into each box.
Lisa packs Y boxes of pens.

b) Give an expression, in terms of X and Y, for the TOTAL number of pens and pencils Lisa packs.


Hope you can help, could you please explain how you got to your answer.

Answer 1

12x + 10y = total

you have 12 pencils times x boxes plus 10 pens times x boxes,,,when you replace the x and the y with numbers and multiply out the problem, you will get the total number of pens and pencils.

Answer 2

You'll have to do this yourself when you do you rexam you know. However, given that I'll try to explain.

a) If she packed 1 box she would have packed 1 lot of 12 pencils 1 * 12 = 12

If she packed 2 boxes, she would have packed 2 lots of 12 pencils, 2 * 12 = 24

If she packed 3 boxes, she would have packed 3 lots of 12 pencils, 3 * 12 = 36

Hopefully you can see that if she packs x boxes she would have packed x lots of 12 pencils. We write this as x * 12 pencils or 12 * x or more simply 12x

Since this works just as well for the pens only replacing with10 and y, if she packs y boxes she would have packed 10 * y pens or 10y

To find the total number of pens & pencils add the two expressions together. 12 * x + 10 * y. Or a quicker way to write this is to ignore the multiply sign in the middle and you get 12x + 10y = The total number of pens and pencils Lisa packs.

I suggest you ask your teacher to go through this with you. Don't feel silly about asking for help from him or her it is important that you learn how to answer this yourself and understand how you did it.

Answer 3

Say she packs 10 boxes. She then has packed 10 boxes of 12 pencils. Which is 10*12 pencils.
If we don't know how many boxes she's packed, we could instead say she's packed X boxes of pencils, which is then X boxes of 12 pencils. Which is X*12 pencils, or 12X.

If we do the same for the number of pens, she's packed 10*Y pens (into Y boxes).

The total is then the total pens plus the total pencils, which is 10Y+12X

Answer 4

a). expression = 12x (12 times x)

b). expression = 10y (10 times y) answer = 12x + 10y

i got my answer because to find the total number of pencils and pens packed you have to times the number of packs by the number of items going in each pack. in this case, we don't know how many packs so we substitue it in for x or y. good luck

Answer 5

a) number of pencils = 12 X



b) Total number of pencils and pens = 12 X + 10 Y

Answer 6

a) lisa packs 12X pencils in the first box

lisa packs 10Y pens in the second box

b) total pens and pencils packed

=12aX+10bY

where a=pencils and b=pens

i hope that this helps

Answer 7

a) 12X = number of pencils
b)12X + 10Y = total

12 pencils times the number of boxes X = 12X
10 pens times the number of boxes Y = 10Y
add them together to get 12X + 10Y

Answer 8

a) 12x

12 pencils in each box, times by the number of boxes which is represented by x.

b) 12x + 10y

same as above but add the two up.

Answer 9

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Answer 10

a) 12*X = 12X pencils
b) 10*Y = 12Y pens

12X+10Y total no of pencils and pens...