Question

Question #80bc9

Answer 1

Sand is $3 per bag and pea gravel is $4 per bag.

Explanation:

This is an example of solving two equations in two unknowns. Each purchase must be "translated" into an equation:

If we use X for the sand and Y for the pea gravel, the two purchases can be written as

`4X+3Y=24` and

`2X=6`

The second equation simplifies (divide each side by 2) into

`X=3`

so, sand is $3 per bag.

Now, place this value into the other equation:

`4(3)+3Y=24`

`12+3Y=24` (subtract 12 from each side to "collect like terms")

`3Y=12`

`Y=4`

Pea gravel is $4 per bag.