Question 1120885: In 1995, funding for a program increased by 0.75 billion dollars from the funding in 1994. In 1996, the increase was 0.15 billion dollars over the funding in 1995. For those three years the funding was 9.48 billion dollars. How much was funded in each of these three years?
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! in 1994, the funding was x.
in 1995, the funding was x + .75 billion.
in 1996, the funding was x + .75 + .15 billion.
for the 3 years, the funding ws 9.48 billion dollars.
sum up all the funding for the 3 years and you get 3 * x + 2 * .75 + 1 * .15 = 3 * x + 1.65 billion.
3 * x + 1.65 = 9.48
subtract 1.65 from both sides of this equation to get 3 * x = 7.83.
solve for x to get x = 7.83 / 3 = 2.61 billion.
in 1994, the funding was 2.61 billion.
in 1995, the funding was 2.61 + .75 = 3.36 billion.
in 1996, the funding was 3.36 + .15 = 3.51 billion.
2.61 + 3.36 + 3.51 equals total funding of 9.48 billion.
solution checks out.
solution is:
2.61 billion in 1994.
3.36 billion in 1995.
3.51 billion in 1996.
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