I am setting the week hourly rate to x, and the weekend to y. Here is how the equation is set up:
13x + 14y = $250.90
15x + 8y = $204.70
This is a system of equations, and we can solve it by multiplying the top equation by 4, and the bottom equation by -7. Now it equals:
52x + 56y = $1003.60
-105x - 56y = -$1432.90
Now we add these two equations together to get:
-53x = -$429.30 --> 53x = $429.30 --> (divide both sides by 53) x = 8.10. This is how much she makes per hour on a week day.
Now we can plug in our answer for x to find y. I am going to use the first equation, but you could use either.
$105.30 + 14y = $250.90. Subtract $105.30 from both sides --> 14y = $145.60 divide by 14 --> y = $10.40
Now we know that she makes $8.10 per hour on the week days, and $10.40 per hour on the weekends. Subtracting 8.1 from 10.4, we figure out that she makes $2.30 more per hour on the weekends than week days.
Answer:
120 posters
Step-by-step explanation:
300 - 60 = 240
240/2 = 120
5.555 = 5.1
+ 0.05 + 0.005
<span> = 5.5 + 0.05 + 0.05(.1)</span>
<span> = 5.5 + 0.05/(1-.1)</span>
<span> =5.5+0.05/.9</span>
<span> =5.5 + 5/90</span>
<span> = 5.5+1/18</span>
<span> =55/10 + 1/18</span>
<span> = 495/90 + 5/90</span>
<span> =500/90</span>
<span> = 50/9</span>
<span> = 5 5/9</span>
