A snack bar sells two sizes of snack packs a large snack pack is $5 and a small snack pack is $3 in one day. The snack bar sold 60 snack packs for a total of $220.
Part A - Write a system of equations that represents the scenario above. Let X equal small snack, packs and Y equal large snack packs.
Let X equal the number of small snack packs
Let Y equal the number of large snack packs
The price of a small snack pack is $3, so the total cost of X small snack packs is 3X
The price of a large snack pack is $5, so the total cost of Y large snack packs is 5Y
The total number of snack packs sold is 60, so:
X + Y = 60 ...................(1)
The total cost of all snack packs sold is $220, so:
3X + 5Y = 220 ...............(2)
So the system of equations that represents the scenario above is:
X + Y = 60
3X + 5Y = 220