Math Problem Help Please!?

2.00 - .80 means each profit is 1.20

48/1.20

40 packages would give her the profit but she also lost .80 on 18 packages.

So, she had to sell 18 more packages to even out her expenses.

40+18

Looks like 58.

Let x = the total number of cards Maria bought. Then....

.80 (x) = the total amount paid for the cards.

She sold all but 18 packages for $2 each ......

$2 (x - 18)

Making a profit of $48 .......{the difference between what she sold them for and what she paid} ----->

$2 (x - 18) - .80 (x) = 48 --->

2x - 36 - .8x = 48 ..........{multiply everything by 10} ----->

20x - 360 - 8x = 480 ------>

12x - 360 = 480 ------>

12x - 360 + 360 = 480 + 360 ----->

12x = 840 ----->

12x/12 = 840/12 ----->

x = 70

......Maria bought a total of 70 packs of cards.

n.b.: And I'm the *ONLY* one here so far who has this thing right. And, yes, I AM smarter than a 5th grader!

so in other words every pack of cards she sold she gained a profit of $1.20 so that makes it a hell of a lot easier so now how many times does it take for that to get to $48 then add that number buy 18 and there you go you got the answer but the answer is as far as i could get is 58 packages that she bought hope i helped enough

She sells the packs for $2, but bought them for $0.80 so makes $1.20 per pack.

If X is the total number of packs she bought, then she sold (X-18) packs because she had 18 left over.

For each of these (X-18) packs sold she earned $1.20 profit, and $48 in total.

So (X-18) * 1.20 = 48

Divide both sides by 1.20 leaves:

(X-18) = 40

so X = 58

She bought 58 packs in total

The 2nd answerer dropped a negative sign when he re-arranged the equation.

I always work it out backwards here is how I would do it.

Profit = $48

How do you find profit

$48 = profit per pack * (Total packages - 18 (unsold packages))

$48 = 2.00 - .80 * (x - 18)

$48 = $1.20*(x - 18)

Distribute the $1.20

$48 = $1.20x - $21.60

$26.40 = $1.20x

x = 22 packs SOLD

Packs sold + packs unsold = Total

22 + 18 = 40

40 total packs