I'm not understanding this word problem :/ (not the answer, just explain it)In 2003, federal funding for Head Start programs increased by $0.13 billion from the previous year. The increased from...

I'm not understanding this word problem :/ (not the answer, just explain it)

In 2003, federal funding for Head Start programs increased by $0.13 billion from the previous year. The increased from 2003-2004 was %0.10 billion. Over the three-year period 2002-2004, the total funding was $19.98. What was the Federal Head Start funding for each of these years?


I thought since 2002 was missing it went something like this: (2002=x)

2003= x +$0.13

2003-2004= x+ $0.13+ $0.10.

2002=x

What am I doing wrong?? :/

2 Answers | Add Yours

nathanshields's profile pic

Posted on

Oops - I should have said "But instead, we have x spent the first year, x+0.13 spent the second year, and (x+0.13)+0.10 spent the third year," but I'm not even sure I understand which changes happened which years - maybe you can work with this anyway!

nathanshields's profile pic

Posted on

There's something strange about the wording here.  Was the increase in 2003 0.13 or 0.10?  I'll assume there were two increases: 0.13 first and 0.10 second, and give you a general idea that will help you solve it.

Remember, if the spending were the same each year (call it x), then we would have x+x+x = 19.98

But instead, we have x spent the first year, x+0.10 spent the second year, and (x+0.10)+0.13 spent the third year.

So x+x+0.10+x+0.10+0.13 = 19.98, if my understanding is correct.

I hope this helps you solve it!

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