On the way to a family camping weekend, the Estradas stopped at a roadside stand to purchase firewood. The stand sold bundles of pine firewood for $2 per bundle and bundles of hickory firewood for $4 per bundle. The Estradas purchased a total of 25 bundles of pine firewood and hickory firewood for $66. How many bundles of pine firewood did the Estradas purchase?
A.) 8 B.) 11 C.) 17 D.) 21 E.) 22
p = bundles of pine firewood
h = bundles of hickory firewood p + h = 25 {they purchased a total of 25 bundles} 2p + 4h = 66 {pine bundles cost $2, hickory bundles cost $4, and the total cost $66} -4p - 4h = -100 {multiplied top equation by -4} 2p + 4h = 66 {bottom equation stays the same} ----------------- -2p = -34 {added the two equations} p = 17 {divided each side by -2} they purchased 17 bundles of pine firewood C.) - Algebra House
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