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

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!

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!

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