Today we're going to solve a fun shopping problem about buying pancakes! Each pancake costs 5 yuan, and there's a special deal: for every 100 yuan you spend, you get a 35 yuan voucher that works like cash. We have 260 yuan to spend, so let's figure out the maximum number of pancakes we can buy!
Let's start with the first purchase. If we simply divide 260 yuan by 5 yuan per pancake, we get 52 pancakes. But this doesn't consider the voucher system! Since we're spending 260 yuan, which is more than 200 yuan, we qualify for vouchers. For every 100 yuan spent, we get a 35 yuan voucher. So from 260 yuan, we get 2 vouchers worth 70 yuan total!
Now let's use our vouchers! We have 70 yuan worth of vouchers from the first purchase. We can use these vouchers just like cash to buy more pancakes. 70 yuan divided by 5 yuan per pancake gives us 14 more pancakes. Since we only spent 70 yuan this time, which is less than 100 yuan, we don't get any new vouchers. So far we have 52 plus 14, which equals 66 pancakes total.
Here's the smart strategy! Instead of spending all 260 yuan at once, let's be strategic. First, spend exactly 200 yuan to get 40 pancakes and 2 vouchers worth 70 yuan. Then, combine our remaining 60 yuan with the 70 yuan vouchers to spend 130 yuan total. This gets us 26 more pancakes and 1 additional voucher. Finally, use the last 35 yuan voucher to buy 7 more pancakes. The total is 40 plus 26 plus 7, which equals 73 pancakes!