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Jaime bought 2 puzzles for $5.00 and 3 puzzles for $7.50. Write and solve an equation to find the Cost of 15 puzzles. Tell what the variables represent.

Verified Answer :

AmekaS

2= $5.00
3= $7.50
15= x

1 puzzle= $2.50
so, 15 puzzles= $37.50

2x=5.00; 2/2x= 5.00/2; x= 2.50
3x= 7.50; 3/3x= 7.50/3; x= 2.50
15x= 15x; 152.50= 37.50

you can solve this problem several ways
if 2 puzzles cost $5.00 then 1 puzzle costs $2.50
the variable would be the number of puzzles, the cost of each puzzle
stays the same
cost= number of puzzles times the price
2,50 (15)= x
$37,50 =x

also if 3 puzzles cost 7.50 then 15 is 5 times that cost
5 (7,50)= $ 37.50

also ratio and proportion

1 puzzle/$2.50= 15 puzzles/ x $
cross multiply
x= $37,50

hope this helps

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