what is the equation for this?

Question

a page of a school yearbook is 8 1/2 in. by 11 in. The left and right margins are 1 in. and 2 1/2 in. respectively. The space between pictures is 1/4 in. How wide can each picture be to fit across the width of the page? please give me the equation model and describe how you got it

Answer 1

- Assign:
Width of the school year book: a = 8 1/2 in
Height of the school year book: b = 11 in
Left margin: l = 1 in
Right margin: r = 2 1/2 in
Space between pics: s = 1/4 in

- Assume:
p = the number of pics per row
w = width of each picture (you must find)

We have an equation: a - l - r - p*w - (p-1)*s = 0
where:
p*w = width of p pictures
(p-1)*s = width of space between p pictures

=> The width of each picture: w = (a - l - r - (p-1)*s) / p
= (8.5 - 1 - 2.5 - (p-1)*0.25) / p

Substitute p for the number of pics per row you want, you will find the answer

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Chummy, HCMC, Vietnam

Answer 2

If the page is 8.5 wide and the total margin width is 3.5 then that leaves 5 usable inches.

Sow many pictures do you want per row?

1 picture per row could be 5 inches wide
(5 / 1 = 5)

If 2 pictures per row you also have to count 1 space (0.25) between pictures so the pictures would be 2.375 wide
([5 - 0.25] / 2]

If there are x pictures per row then you will have (x-1) spaces per row and the width can be calculated
([5-0.25x]/x=width)

Answer 3

You need a model, right?

The model will say how wide the picture can be AS A FUNCTION of the number of pictures.

You have 5 inches of width into which to fit the pictures. If you have 2 pictures, you have one intervening space of 1/4 inch. If you have three pictures, you have two intervening spaces.

If you have n pictures, you have (n - 1) intervening spaces, which occupy (n - 1) / 4 inches.

Answer 4

You need to tell us how many pic there are per row. Then one can determine what the width of each can be.

Edit: assuming it is one pic, 1/4 inches is applied to each side of pic, and the legth of the horizontal is 8 1/2.
let x=width
8 1/2-(1+2 1/2)-(1/4+1/4)/x

all the number I put above divided by x. that would be the width

Answer 5

draw out the page...after deducting the margins you have 5 inches to play. put 4 one inch photos on the page or 5 three/quarter inch photos

Answer 6

Assuming these are numPix to a single line and .25 inches between:

sizePicture = (pageWidth - leftMargin - rightMargin - (0.25 * (numPix -1)) / numPix

Hope that helps!

Rob