Acme inc. spent $810 less on postage than on supplies. the ratio of postage costs to supply costs was 2 to 5. how much did acme spend on postage? solve this problem using algebra.

$540

p = postage
s = supplies

You spend 810 less on postage, so

p = s - 810

The 2nd equation is a ratio

But with cross multiplication, that becomes

2s = 5p

You are then left with the system of equations:

2s = 5p

p = s - 810

You can change the second equation so it becomes

p + 810 = s

and substitute it in for s in the first equation, so you get

2(p + 810) = 5p

2p + 1620 = 5p

1620 = 3p

540 = p

To check it, you can get money spent on supplies by adding 810, which gets 1350, which is indeed makes a 2:5 ratio between postage money and supply money

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.