Ok so 1.5 is pins and 6.5 is t shirts so you multiply 1.5 x 20 and 6.5 x 5 so for pins= $30 and T-shirts= $32.50 and you times both those numbers by 3 so for pins you get $90 and T-shirts you get $97.50. Finally you add them and get $187.5 so the answer is $187.5 for the project.
X: earn per hour during the week
y: earn per hour during the weekend
13x + 14y = 250.90
15x + 8y = 204.70
Multiply the first equation by 4 and the second equation by 7
52x + 56y = 1003.6
105x + 56y = 1432.90
Subtract the first equation from the second:
53x = 429.30
x = 429.30/ 53
x = 8.10
Solve any of the equation for y:
15x + 8y = 204.70
y = [204.70 - 15(8.10)]/8 = 10.40
y - x = 10.40 -8.10 = 2.30
Answer: she earns $2.30 per hour more during the weekend than during the week.
<span>Provided that no one can receive more than one prize, there are 50*49*48= 117600 ways to distribute the prizes. The first prize can be given to any of the 50 people, the second to any of the remaining 49, and the third to the remaining of the 48, multiplying these possibilities together leads to the answer.</span>
Answer:
In this hotel there are 27 double rooms and 8 single rooms.
Step-by-step explanation:
We will consider the guests who stayed on double rooms as 'd' and the ones who stayed on single rooms as 's'. The sum of them should be the number of guests on the hotel. So we have:
s + d = 62
They need to be distributed in such a way that they'll fit in 35 rooms. The people who got on double rooms need to be divided by two, since two people will be on the same room. So we have:
s + d/2 = 35
Since we have two equations and two variables we can create a system of equations and solve it:
s+ d = 62
s + d/2 = 35
From the first equation we have:
s = 62 - d
Swaping this value on the second equation:
62 - d + d/2 = 35
62 -d/2 = 35
-d/2 = 35 - 62
-d/2 = -27
-d = -54
d = 54
Using that value we can solve for s:
s = 62 - 54 = 8
So they had 54 people staying on double rooms and 8 people staying on single rooms. Since 54 people stayed on double rooms there are 27 double rooms.
