Li Xin is a thrifty girl. She always spends money wisely. She has saved $231 so far. Devi has 711 of Li Xin's money. How much must Li Xin give Devi so that both will have the same amount?
Question
Li Xin is a thrifty girl. She always spends money wisely. She has saved $231 so far. Devi has 711 of Li Xin's money. How much must Li Xin give Devi so that both will have the same amount?
Solution
First, we need to find out how much money Devi has. Since Devi has 7/11 of Li Xin's money, we multiply 231 by 7/11:
231 * 7/11 = 147
So, Devi has $147.
Next, we need to find out how much money they would each have if they had the same amount. To do this, we add up all the money they have together and then divide by 2:
231 + 147 = 378 378 / 2 = 189
So, each of them would have $189 if they had the same amount.
Finally, we need to find out how much money Li Xin needs to give to Devi. To do this, we subtract the amount of money Devi currently has from the amount they would each have if they had the same amount:
189 - 147 = 42
So, Li Xin needs to give Devi $42 so that both will have the same amount.
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