Homework Sourse4 A collection of 33 coins consisting of nickels dimes and q
4) A collection of 33 coins, consisting of nickels, dimes, and quarters, has a value of $3.30. If there are three times as many nickels as quarters, and one-half as many dimes as nickels, how many coins of each kind are there?
5) A friend brought small bags of cookies to sell at a fairly large Holiday Bowl Game Watch Party. Three kinds of cookies were sold: Stars (sold for $1 per bag), Circles (sold for $0.75 per bag) and Stars and Stripes (sold for $1.50 per bag).
He brought the cookies to the Watch Party in three large boxes that were totally filled to capacity. By volume, it is a known fact that each bag of Stars fills up 1% of a box (1/100th), each bag of Circles fills up 1/120th of a box while each bag of Stars and Stripes fills up 1.25% of a box (1/80th). HINT: Don’t concern yourself with what each box held; view this as an aggregate limit of numbers of cookies..
All cookies brought were sold, a total of 300 bags. The total amount of money raised was $312. All bags of cookies brought in the boxes were sold.
Can you determine how many of each of the three cookie types were brought/sold?
Solution
4)
let x be no of nickels
number of dimes = x/2
number of quarters = x/3
=>
total number of coins = 33
(x * 0.05 + x/2*0.1 + x/3*0.25) = 3.3
=>
number of nickels = 18
number of dimes = 18/2 = 9
number of quarters = 18/3 = 6
