SOLUTION: WRITE AN EQUATION THAT EXPRESSES Y IN TERMS OF X. Jamie bought two puzzles for $5.00 and three puzzles for $7.50. Write and solve an equation to find a cost of 15 puzzles.

Question 1023843: WRITE AN EQUATION THAT EXPRESSES Y IN TERMS OF X.
Jamie bought two puzzles for $5.00 and three puzzles for $7.50. Write and solve an equation to find a cost of 15 puzzles.
Found 2 solutions by josgarithmetic, robertb:
Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!
Make a variable for cost of puzzles.
c for cost of puzzles.
Cost of the $5 puzzles plus cost of the $7 puzzles will be c.

x for the cheap puzzle
y for the expensive puzzle

Just, "15 puzzles" is not precise enough for any single answer for c. c can have a minimum value and a maximum value and a few values in between. For 15 puzzles and no other constraint, there are 15 possible values for c. x+y=15.
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Let y = the total cost, and x = the number of $5 puzzles.
==> 15 - x = the number of the $7.50 puzzles
==> Total cost = y = 5x + 7.50(15-x) = 112.50 - 2.50x, or
,
where x = 0,1,2,3,4,...,15.
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