Math 320 Practice Exam 3 Worksheet With Answers Page 2
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23. (5pts) What is the largest sum of money in U.S. coins that you could have without
being able to give change for a nickel, dime, quarter, half-dollar, or dollar?
You can not have more than four pennies or else you could make change for a
nickel.
You can not have more than one nickel or else you could make change for a dime.
Now things get a little more complicated. If you have a nickel, then you can not
have more than one dime or else you could make change for a quarter. You can not
have more than one quarter or else you could make change for a half dollar. You can
not have more than one half-dollar or else you could make change for a dollar. The
largest sum you can get this way would be 04 + 05 + 1 + 25 + 5 = $ 85
If you do not have a nickel, then you can have four dimes without making change
for a quarter or half-dollar. You still can not have more than one quarter or else you
could make change for a half dollar and you can not have more than one half-dollar or
else you could make change for a dollar. The final answer is then 04 + 4 + 25 + 5 =
$1 19.
1
4. (5pts) A man’s age at death was
of the year of his birth. Assuming that he was
29
living in 1949, list all possible ages for him in 1949?
The man’s age at death is divisible by 29 and therefore is a multiple of 29. Notice
1949
that
67 2.
29
He could have been born in 29
67 = 1943 and died at age 67 in 2010. He would
then have been 6 in 1949.
He could also have been born in 29
66 = 1914 and died at age 66 in 1970. He
would then have been 45 in 1949.
Finally, he could also have been born in 29
65 = 1885 and died at age 65 in
1950. He would then have been 64 in 1949.
5. (5pts) Express the following values without exponents.
3 2
1 2
3
3
(a.) 9
= (9
)
= 3
= 27
6 5
1 5
6
6
(b.) ( 243)
= (( 243)
)
= ( 3)
= 729
6
1
3
2
6. (5pts) Solve the inequalities (a.) 2 + 3
5
9 and (b.)
+
.
5
3
10
5
2 + 3
5
9
3
3
9
12
3
4
Therefore the final answer is
:
4 or [4
).
6
1
3
2
+
5
3
10
5
9
11
10
15
22
22
Therefore the final answer is
:
or (
).
27
27
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