Answer: 34 kids in all
Step-by-step explanation:
: 40 - 6 = 34
0 6 34
|------------|----------------------------|
Okay, let's represent the price of a bed sheet with 'b' and a towel with 't':
54b + 50t = 923
38b + 61t = 791.50
Now, if we subtract both sides by 54b (on the first equation), we get this:
50t = 923 - 54b
Divide both sides by 50:
t = 18.46 - 1.08b
Now that we know this, we can move on to the 2nd equation:
38b + 61t = 791.50
Input the variable 't':
38b + 61(18.46 - 1.08b) = 791.5
38b + 1126.06 - 65.88b = 791.5
38b - 65.88b = 791.5 - 1126.06
Simplify:
-27.88b = -334.56
Because both sides are negative, we can turn it into a positive:
27.88b = 334.56
b = 334.56/27.88
b = 12
Now that we know that b = 12, we can easily input it into any equation:
648 + 50t = 923
50t = 275
t = 5.5
One bed sheet costs $12 and one towel costs $5.50
Option C is the answer.
Let the number of islands visited be x and that peninsulas be y
thus,
x+y=19
⇒y=19-x.........i
if he skydives twice in islands and thrice in peninsulas, then the total number of skydives will be:
2x+3y=45.....ii
substituting i in ii we get:
2x+3(19-x)=45
2x+57-3x=45
putting like terms together we get:
2x-3x=45-57
-x=-12
therefore
x=12
and
y=19-x=19-12=7
hence the number of islands visited was 12 and that of peninsulas was 7
The appropriate choice is
... D) x = -2 ±√7
