Question

Ben wants to play a carnival game that costs $2. In his pocket he has 5 red tickets worth 35 cents each, and 15 blue tickets worth 10 cents each. Which of the following systems of inequalities correctly represents the constraints on the variables in this problem? Let r represent the red tickets and b represent the blue tickets.

A. 5r + 15b >/ 2
b / 2
b / 2
0 / 2
0
11 years ago

Answer 1

@dtan5457 @Godlovesme @Nnesha

Answer 2

@Nnesha help plz idk sorry =0 @Tallan

Answer 3

I just need help to answer this question fairly quick

Answer 4

@iambatman

Answer 5

@Directrix @acxbox22 @WhiteFangIII

Answer 6

I need all the help i can get on this. :P

Answer 7

what should be my best guess @Godlovesme

Answer 8

hang on i'm asking ppls

Answer 9

ok

Answer 10

the carnival game costs to play $2, $2 is really 200 cents
Ben has, 5 "r" tickets, worth 35c each 5 * 35 = 175

he also has 15 "b" tickets, 10c worth each, 15 * 10 = 150

we just happen to know that he has 5 red ones, or r = 5
and that he has 15 bliue ones, b = 15

what if we didn't know how many "r" and "b" he had?
let us say he had "r" red, and "b" blue ones
how much worth?
well r * 35c = 35r
b * 10 = 10b

we know that, to play he has to have 200cents at least
so, whatever 35r + 10b is, has to be AT LEAST 200


so.. what do you think?

Answer 11

would it be .35 and .10 or just 35 an 10

Answer 12

if you want to put it in dollar terms
recall that there are 100cents in $1

so 35cents is really 35/100 = 0.35
35r in dollar terms would be then 0.35r

10 cents is 10/100 = 0.10
so 10b in dollar terms is 0.10b

Answer 13

using cent terms would be \(\bf 35r+10b\ge 200\)

in dollar terms it'd be \(\bf \cfrac{35}{100}r+\cfrac{10}{100}b\ge\cfrac{200}{100}\implies 0.35r+0.10b\ge 2\)

Answer 14

greater than or equals
meaning

if what Ben has is 200 cents, is ok, he can play the carnival game
if he has more than 200, say 250 or 300, is also ok, he'd just be left with some leftover change to buy cotton candy or so

if he has less than 200, well, then he couldn't really play it

so it has to be 200 or more, or \(\bf \ge 200\)

Answer 15

ok so can I take a guess at the answer?

Answer 16

well
is obviously either B or C

B has an issue
\(\bf b \le 15\) means that "b" could be say a negative value, like -5, -25
same goes for saying that \(\bf r \le 15\)

so, whatever the amount of "b" and "r" tickets are
they have to be more than or equal to 0

they both can't be 0 of course, just one or the other
if "r" is 0, I assume "b" will take the slack
and if "b" is 0, "r" takes the slack

Answer 17

\(\bf r\le 5\) I meant, anyhow
so should be obvious which is it from there

Answer 18

awesome job @jdoe0001 :)

Answer 19

So it would be B then @jdoe0001

Answer 20

?