Lizzy: The number of Oreos and cookies in a box is in the ratio 4:9. Zane bought each Oreo at $2 and each cookie at $3. How much more money did Zane spend on buying the cookies than buying the Oreos if the total number of items in the box is 65?.
Me: Hmmm, let me think. I think this is the detailed solution:
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The total ratio representing the number of cookies and Oreos that Zack bought is 4 + 9 = 13. The fraction representing the number of Oreos Zane bought is 4 / 13, and since the total number of items in the box is 65, Zane bought 4 / 13 * 65 = 20 Oreos. If Zane bought 20 Oreos at $2 each, the total cost of buying Oreos is $2 * 20 = $40. Since the total number of items in the box is 65, and there are 20 Oreos in the box, the number of cookies in the box is 65 - 20 = 45. The cost of buying the cookies at $3 each is 45 * $3 = $135. If the Oreos cost $40 to buy, Zane used $135 - $40 = $95 more to buy Cookies than Oreos. Final answer: 95.
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