Question

Mr. Hundley has a big collection of silver dollars and 50-cent pieces. He promised to give one fourth of his collection to the first teacher who can figure out the total values of his coins. These are the only clues:
There are 132 more silver dollars than 50-cent pieces.
The ratio of silver dollars to 50-cent pieces is 5:2.
How many of each type of coins is in Mr. Hundley's collection? How much money will I get if I'm the first?

Answer 1

Let there be d dollars, and h halves.

d = h+132
d/h = 5/2

d = 5h/2
5h/2 = h + 132
3h/2 = 132
h = 44
d = 44+132 = 176

Assuming 1/4 of the collection means 1/4 of each kind of coin, then you will get 11 halves and 44 dollars = $49.50

Answer 2

Rats. h=88 (2/3 of 132, not 1/3)
d = 220

1/4 of collection = 44 halves and 55 dollars = $77.00

Answer 3

RATS! I gotta start doing these on paper first.
1/4 collection = 22 halves and 55 dollars = $66

That's my final answer!

Answer 4

There are 132 more silver dollars than 50-cent pieces or D = H + 132.

The ratio of silver dollars to 50-cent pieces is 5:2 or D/H = 5/2.

How many of each type of coins are in Mr. Hundley's collection?

D = 5H/2
Therefore,
5H/2 = H + 132
5H = 2H + 264
3H = 264
H = 88
D = 88 + 132 = 220
88(.50) + 220(1.00) = $264
Your share is (1/4)x264 = $66

Answer 5

You need to finish reading a 300-page book for English class. You have read 135 pages and have only 6 days left to finish the book. How many pages would you need to read each day?