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Juan bought a bike and a helmet for $155. His friend Pedro went to the same store next day and found that bikes were selling for 40% off and helmets for 20% off. Pedro also bought one bike and one helmet at a total sale price of $100. What was the price paid by Juan for the bike

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Answer:

Let b = price of the bike and h = price of the helmet.

b + h = 155---------->8b + 8h = 1,240

.6b + .8h = 100---->6b + 8h = 1,000

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2b = 240

b = 120, h = 35

Juan paid $120 for the bike and $35 for the helmet.

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