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Answer 1 · 2017-01-08T17:40:24

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

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.