Hello all, please look at my last reply to POTW #16 for the correct answer to last week's question. Nobody got it correct this time! Also, we are all really looking forward to the Toboggan PBL next week.Remember to have fun with it!
Below is this week's POTW:
$5-$3.75=$1.25
ReplyDeleteThe question is basically asking how many ways you can make $1.25 with quarters, nickels and dimes.
We can do:
5 quarters
4 quarters and 5 nickels
3 quarters and 10 nickels
2 quarters and 15 nickels
1 quarter and 20 nickels
25 nickels
23 nickels and a dime
21 nickels and 2 dimes
19 nickels and 3 dimes
17 nickels and 4 dimes
15 nickels and 5 dimes
13 nickels and 6 dimes
11 nickels and 7 dimes
9 nickels and 8 dimes
7 nickels and 9 dimes
5 nickels and 10 dimes
3 nickels and 11 dimes
1 nickel and 12 dimes
(Going to post more later)
To do this question first we need to found out how much change is need so $5.00-$3.75= $1.25. Next, I will find out the maximum amount of quarters and go from greatest to least (I chose quarters because it is the biggest therefore being easier). So:
ReplyDelete5 quarters
4 quarters, 2 dimes and 1 nickel
4 quarters and 5 nickels
4 quarters, 1 dime and 3 nickels
3 quarters and 5 dimes
3 quarters and 10 nickels
3 quarters, 4 dimes and 2 nickels
3 quarters, 3 dimes and 4 nickels
3 quarters, 2 dimes and 6 nickels
3 quarters, 1 dimes and 8 nickels
3 quarters and 10 nickels
2 quarters, 7 dimes and 1 nickel
2 quarters, 6 dimes and 3 nickels
2 quarters, 5 dimes and 5 nickels
2 quarters, 4 dimes and 7 nickels
2 quarters, 3 dimes and 9 nickels
2 quarters, 2 dimes and 11 nickels
2 quarters, 1 dimes and 13 nickels
2 quarters and 15 nickels
1 quarter and 10 dimes
1 quarter, 9 dimes and 2 nickels
1 quarter, 8 dimes and 4 nickels
1 quarter, 7 dimes and 6 nickels
1 quarter, 6 dimes and 8 nickels
To do this question first we need to found out how much change is need so $5.00-$3.75= $1.25. Next, I will find out the maximum amount of quarters and go from greatest to least (I chose quarters because it is the biggest therefore being easier). So:
5 quarters
4 quarters, 2 dimes and 1 nickel
4 quarters and 5 nickels
4 quarters, 1 dime and 3 nickels
3 quarters and 5 dimes
3 quarters and 10 nickels
3 quarters, 4 dimes and 2 nickels
3 quarters, 3 dimes and 4 nickels
3 quarters, 2 dimes and 6 nickels
3 quarters, 1 dimes and 8 nickels
3 quarters and 10 nickels
2 quarters, 7 dimes and 1 nickel
2 quarters, 6 dimes and 3 nickels
2 quarters, 5 dimes and 5 nickels
2 quarters, 4 dimes and 7 nickels
2 quarters, 3 dimes and 9 nickels
2 quarters, 2 dimes and 11 nickels
2 quarters, 1 dimes and 13 nickels
2 quarters and 15 nickels
1 quarter and 10 dimes
1 quarter, 9 dimes and 2 nickels
1 quarter, 8 dimes and 4 nickels
1 quarter, 7 dimes and 6 nickels
1 quarter, 6 dimes and 8 nickels
To do this question first we need to found out how much change is need so $5.00-$3.75= $1.25. Next, I will find out the maximum amount of quarters and go from greatest to least (I chose quarters because it is the biggest therefore being easier). So:
5 quarters
4 quarters, 2 dimes and 1 nickel
4 quarters and 5 nickels
4 quarters, 1 dime and 3 nickels
3 quarters and 5 dimes
3 quarters and 10 nickels
3 quarters, 4 dimes and 2 nickels
3 quarters, 3 dimes and 4 nickels
3 quarters, 2 dimes and 6 nickels
3 quarters, 1 dimes and 8 nickels
3 quarters and 10 nickels
2 quarters, 7 dimes and 1 nickel
2 quarters, 6 dimes and 3 nickels
2 quarters, 5 dimes and 5 nickels
2 quarters, 4 dimes and 7 nickels
2 quarters, 3 dimes and 9 nickels
2 quarters, 2 dimes and 11 nickels
2 quarters, 1 dimes and 13 nickels
2 quarters and 15 nickels
1 quarter and 10 dimes
1 quarter, 9 dimes and 2 nickels
1 quarter, 8 dimes and 4 nickels
1 quarter, 7 dimes and 6 nickels
1 quarter, 6 dimes and 8 nickels
1 quarter, 5 dimes and 10 nickels
1 quarter, 4 dimes and 12 nickels
1 quarter, 3 dimes and 14 nickels
1 quarter, 2 dimes and 16 nickels
1 quarter, 1 dime and 18 nickels
1 quarter and 20 nickels
I exceeded word count...
I copy pasted it 2 extra times... WHOOPS
DeleteWhoa that's a lot
DeleteNow I will try the possibilities without quarters, just dimes and nickels and I will start with as many dimes as possible like before but no quarters:
ReplyDelete12 dimes and 1 nickel
11 dimes and 3 nickels
10 dimes and 5 nickels
9 dimes and 7 nickels
8 dimes and 9 nickels
7 dimes and 11 nickels
6 dimes and 13 nickels
5 dimes and 15 nickels
4 dimes and 17 nickels
3 dimes and 19 nickels
2 dimes and 21 nickels
1 dime and 23 nickels
25 nickels
Those are all the possibilities, therefore to solve this question i used a pattern as every dime is 2 nickels and my friend copy paste also helped A LOT.
Hope & Neha
ReplyDelete5 quarters
4 quarters 2 dimes and 1 nickle
12 dimes and 1 nickle
25 nickles
1 dime 23 nickles
But, "how many different ways can the cashier make change?" asks you to also state "how many". So, after showing all of your work and combinations, you were to count them. The correct answer is that the cashier can make 42 different combinations of change.
ReplyDelete375-500 is 125 using 25 5 and 10 how many ways can you make 125 well
ReplyDeletethe amount of 25s in this is least tens more and 5s most so
125
is
1 quarter 10 dimes or 20 nickels 9 dime 18 nickel/ 8 dime 16 nickle/ 7 14 / 6 12/ 5 10 /4 8/ 3 6/ 2 4 /1 2
2 quarter 5 nickle 7 dimes (6 2/ 5 4 /4 6/ 3 8/ 2 10/ 1 12/
3 quarter 5 dimes (4 2/3 4/2 6/1 8/)
following the pattern of 7 5 9 we get 3 and 1
is 25
now instead of quarter we use 2 10 and 1 5
22
only fives we get 25
48 in total