616The Alibaba Global Mathematics Competition (Hangzhou 2018) consists of 3 problems. Each consists of 3 questions: a, b, and c.This document includes answers for your reference. It is important to note that there are multiple answers to each question. If you submitted different answers, you may still get points. We try to write the answers rather thoroughly. It does not mean your answers need to be as detailed. This document is neither a rubric nor a grading guide. The authors of these answers are not the graders.(correction 11 )Problem 1.a. During the Alibaba 11.11 Shopping Festival, Store A issues “5 RMB off 60 RMB” stackable coupons. “Stackable” means the multiple coupons can be applied to a single order. For example, an order of 120 RMB at list price, can be reduced to 110 RMB by applying two such coupons.Store A is part of Tmall.com. Tmall.com issues a “60 RMB off 299 RMB” coupon, limited to one per order. This coupon applies to the list price and is stackable with any individual store coupons. For example, to a product listed at 299 RMB in a Tmall.com store, one pays only 299 RMB - (the store discount based on 299 RMB) - 60 RMB. If the total list price is slightly below 299RMB, customers often adds filler item(s) (such as socks or tissues) from other Tmall.com stores to reach 299RMB and then apply the coupon.Xiao Ming will buy a 250 RMB pair of headphones and a 600 RMB speaker set from Tmall.com Store A. Xiao Ming has unlimited access to the two types of coupons described. What is the least amount that he must pay?Answer: 709 RMB. To get this answer, we have used filler items from other store(s). The answer will be reduced to 705 RMB if there are filler ite...
