The difference between the price of an orange and the price of a pear equals the price of a banana. If the total cost of an orange and a pear is $120 and a pear costs $90, calculate the total price of buying 200 bananas and twice as many oranges as bananas.
Thoughts? Step-by-step reasoning:
If the total cost of an orange and a pear is $120, and a pear costs $90, an orange costs $120 - $90 = $30. Since the difference between the price of an orange and a pear is the price of a banana, a banana is sold at $90 - $30 = $60. To buy 200 bananas, you'll pay $60 * 200 = $12000. When you twice as many oranges as bananas, you buy 2 * 200 = 400 oranges. The total cost of buying 400 oranges is 400 * 30 = $12000. The total price of buying 200 bananas and twice as many oranges as bananas is $12000 + $12000 = $24000.
Thus, the answer is 24000.