Veggie patties are sold in packages of 5. Buns are sold in packages of 8. You need about 125 veggie burgers for a school barbecue. You do not want any patties or buns leftover. How many packages of each should you buy?
5x = 125
X = __ packs of burgers.
8y = 125
Y = __ packs of buns.
LCM(5,8) = 40
40*3 = 120, which is about 125
So,
24 pkgs of patties
15 pkgs of buns
To determine how many packages of veggie patties and buns you should buy, you need to find the least common multiple (LCM) of the number of patties and buns.
The LCM of 5 (number of veggie patties per package) and 8 (number of buns per package) is 40.
This means that to have an equal number of patties and buns without any leftovers, you should buy packages in multiples of 40.
Now, let's calculate the number of packages you need:
For the veggie patties:
125 veggie burgers needed / 5 patties per package = 25 packages
For the buns:
125 veggie burgers needed / 8 buns per package = 15.625 packages
Since you cannot purchase a fraction of a package, you will need to round up to the nearest whole number. In this case, you should round up to 16 packages.
Therefore, you should buy 25 packages of veggie patties and 16 packages of buns to have enough for 125 veggie burgers without any leftovers.
To determine how many packages of veggie patties and buns you should buy, you need to calculate the minimum number of packages for each item that will satisfy your requirement without leaving any leftovers.
Let's start with the veggie patties. If each package contains 5 patties, and you need about 125 veggie burgers, we divide the total number of patties needed (125) by the number of patties in each package (5):
125 / 5 = 25
So you would need to buy at least 25 packages of veggie patties.
Next, let's consider the buns. If each package contains 8 buns, we need to calculate the total number of buns needed for 125 veggie burgers. Since each burger requires one top bun and one bottom bun, the number of buns needed is twice the number of burgers:
125 x 2 = 250
Now, divide the total number of buns needed (250) by the number of buns in each package (8):
250 / 8 = 31.25
Since we can't buy a fraction of a package, we need to round up to the nearest whole number. This means you would need to buy at least 32 packages of buns.
In summary, you should buy 25 packages of veggie patties and 32 packages of buns to have enough for approximately 125 veggie burgers without any leftovers.