Rachel is going on a trip to Japan. The table below shows the cities she hopes to visit during her stay, as well as the amount of money she expects to spend in each one after taking into account food, shopping, transportation, and similar costs. All costs are given in Japanese yen (¥).CityCost (¥)Sendai6,450Nara6,824Sapporo6,106Tokyo8,670Hiroshima5,768Kyoto7,611Osaka8,215Because Rachel has only ¥36,000 to spend on this portion of her trip, she has decided that she must remove two cities from her itinerary. Which of the following is the cheapest pair of cities she can drop and still stay within her budget?
Rachel’s listed costs total ¥49,644, so she must cut at least ¥13,644 to stay within her ¥36,000 budget. Dropping Sapporo and Kyoto saves ¥6,106 + ¥7,611 = ¥13,717, which is enough. The other sufficient pair, Osaka and Sendai, costs ¥14,665, so it is not the cheapest pair that works.
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