Question
John took all his money from his savings account he spent 176 on a radio and 6/11 of what was left on presents for his friends of the remaining money john put 5/8 in checking account and 300 was left to charity how much did he originally have?
Answers
starting with x,
radio: 176, leaving x-176
presents: 6/11 (x-176) = 6/11 x - 96, leaving 5/11 (x-176) = 5/11 x -80
checking: 5/8 (5/11 x - 80) leaving 3/8 (5/11 x - 80) = 15/88 x - 30
So, now we have
15/88 x - 30 = 300
x = 1936
radio: 176, leaving x-176
presents: 6/11 (x-176) = 6/11 x - 96, leaving 5/11 (x-176) = 5/11 x -80
checking: 5/8 (5/11 x - 80) leaving 3/8 (5/11 x - 80) = 15/88 x - 30
So, now we have
15/88 x - 30 = 300
x = 1936
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