Question

Hamburger buns cost $2 per package and hot dog buns cost $1 per package. The total cost for buns is $16. The total number of packages was 12. How many packages of each type were bought?

Answer 1

`4` hamburger bun packages
`8` hot dog bun packages

Explanation:

Let the numbers of hamburger bun packages be denoted by `x` and the number of hot dog bun packages be denoted by `y`.

"Total cost is `$16`, where hamburger buns are `$2` and hot dog buns are `$1`"

`[1]=>2x+y=16`

"Total packages bought is `12`"

`[2]=>x+y=12`

We can solve `[2]` for `x`

`[3]=>x = 12- y`

We substitute `[3]` into `[1]`

`2(12-y)+y = 16`

`24-2y + y = 16`

`24 - y = 16`

`24 = 16+y`

`[4]=>8 = y`

We use `[4]` in `[3]`

`x = 12 - 8`

`[5]=>x = 4`

From `[4]` and `[5]` our solution is

`4` hamburger bun packages
`8` hot dog bun packages