SOLUTION: Since 1953, Frank has gained two pounds every year. In 1983 he was 40% heavier than in 1953. What percent of his 1998 weight was his 1988 weight? I'm really sorry

SOLUTION: Since 1953, Frank has gained two pounds every year. In 1983 he was 40% heavier than in 1953. What percent of his 1998 weight was his 1988 weight? I'm really sorry - I wasn't sure

Question 913748: Since 1953, Frank has gained two pounds every year. In 1983 he was 40% heavier than in 1953. What percent of his 1998 weight was his 1988 weight?
I'm really sorry - I wasn't sure which category to put this question in.
Thank you in advance.
Answer by KMST(5347) (Show Source): You can put this solution on YOUR website!
= years since 1953.
= Frank's weight at time (in pounds).
= Frank's weight (in pounds) at (1953).
, because he's been gaining 2 pounds per year since 1953.

For 1983:
and Frank's weight that year is
.
The problem tells us that is 140% of Frank's 1953 weight, or , so
is our first equation.
--->--->--->--->---> .
So Frank weighed in 1953,
and he gained 2 pound per year after that, so

For 1998:
and Frank's weight that year is
--->---> .
So Frank weighed in 1998.

For 1988:
and Frank's weight that year is
--->---> .
So Frank weighed in 1988.

What fraction and what percentage of is ?
As a fraction, it is .
As a percentage, it is = about
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