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week 3 algebra ia

 
 
Picture of Amy T
week 3 algebra ia
by Amy T - Wednesday, June 19, 2019, 3:17 AM
 

Tom and Jerry went fishing together and each caught some fish. If Tom gave 22 fish to Jerry, then they would have the same number of fish. If Jerry gave 22 fish to Tom, then the number of Tom's fish would be 55 times that of Jerry's. How many fish did each of them catch?

 i kind of forgot how to do it 

 
Picture of Areteem Instructor
Re: week 3 algebra ia
by Areteem Instructor - Thursday, June 20, 2019, 8:08 PM
 

This is one of the problems that we can approach by using the difference and the sum of the numbers. 

It seems Tom has more fish than Jerry. How many more?

Pretend for a second that Jerry gives 2 fish to Tom, then Tom has exactly 5 times as many fish as Jerry. At this point, how many more fish does Tom have? Since Tom has 5 times as many fish as Jerry, he has $5 -1 = 4$ times more fish than Jerry. Try to use this ratio difference (4) to find how many fish Jerry has at this moment. Then use this to find out how many fish each of them have.