I need to add up $200 exactly using the following amounts of money:?

Question

Note: There have to be at least 11 amounts added to make $200.

The amounts are:

$19.50 (7 of them-can be used up to seven times)
$15.50 (3 of them..can be used up to 3 times.)
$14.50 (3 of them...etc)
$29.50 (2 of them...)
$24.50 (3 of them...)
$34.50 (1 of them)
$49.50 (3 of them...)
$39.50 (4 of them...)

I need to use at least 11 of the amounts ( no more than 15 amounts) to make $200.00 (near enough isn't good enough...it need to be $200!).

It's actually quite hard. Could you please help Math genius'?
Thankyou.

The amounts such as $19.50 can be used singularly or for example $19.50 can be used 7 times to obtain $136.5.

I said it was hard! I am ASKING the question. I got $200 exactly but I used only 10 amounts when I need a minimum of 11! I have spent a while on this one question! Please help Math genius'!

courtney_825: I need 11 amounts not 10. I also got it using 10 amounts. I'm sorry if I sound rude. I have just spent so much time on this one question and I can't work it out!

person who said it wasn't difficult: I am only allowed to use up to a certain number of the amounts ($15.50 can be used up to 3 times only).

Answer 1

You have to use between 11 and 15 amounts, right?
This means the amounts have to be either 12 or 14.
Otherwise, you'll end up with an answer ending with 50¢.

Here's my first attempt :
1 * 34.5 = 34.5
2 * 14.5 = 29
7 * 19.5 = 136.5
----------------------
10 amounts = $200

(Ok, I know it's not over 11, so I'll try again....)

Second attempt:
Let's use the smallest numbers for the amounts.
3 x 14.5 = 43.5
3 x 15.5 = 46.5
6 x 19.5 = 117
----------------------
12 amounts = $207

At this point, I submit that this problem is unsolvable,
given the parameters / conditions imposed by your teacher.

Can you double check your source?
You may have transcribed it incorrectly.

~ Mitch ~

Answer 2

It is not hard. Look at all the probable answers. Only 15.50 is doable. The rest are difficult.
Take as much 15.50 as you can. Take 11 of them .11x 15.50 equals 170.50. The remainder is 29.50. So one 29.50 plus 170.50 is 200.00
Repeat after me. Math is easy. Math is easier than figuring out people. Lol

Answer 3

You can't do it with exactly 11 amounts because they will always add up to $XXX.50
You can't do it with more than 11 amounts because the smallest 12 amounts make $207
Conclusion: This problem is impossible

Answer 4

Why make it so damn difficult?! Just get 10 twenties from an ATM and be done with it!

Answer 5

If you are the genius, then you show us how to do it. I tried and I can't figure it out.

Answer 6

that is kinda hard...ill try and figure it out though