Answer:
46, 92
Step-by-step explanation:
Answer:
95%
Step-by-step explanation:
0.6 of 40 is 24, she bought 24 green balloons.
24 × 1.5 = 36, she bought 36 yellow balloons.
So we have
40 red
24 green
36 yellow
Then from the rest of the information, 2 red, 2 green, and 1 yellow balloon all popped.
We now have
38 red
22 green
35 yellow
for a total of:
95 balloons out of 100 original balloons, 95%
We can build a system of two linear equations with two unknowns with the info provided in the problem, one with Kelsey info and one with Mitch info like so:
Lets call p the amount on peak minutes and n the amount of non-peak minutes:
45p + 50n = 27.75
70p + 30n = 36
lets reduce the equations dividing the first by 5:
9p + 10n = 5.55
<span>70p + 30n = 36
</span>now, to eliminate n, lets multiply the first equation by -3 and add the two equations:
-27p - 30n = -16.65
<span>70p + 30n = 36
</span>----------------------------
43p + 0 = 19.35
p = 19.35<span>/43
p = 0.45
therefore the peak rate is $0.45 per minute
lets substitute in one of the original equations this result:
</span><span>45p + 50n = 27.75
</span>45(0.45) + 50n = 27.75
20.25 <span>+ 50n = 27.75
50n = 27.75 - 20.25
50n = 7.5
n = 7.5/50
n = 0.15
therefore the non-peak rate per minute is $0.15</span>
Its 5 divided my 7.50 since each decided to pitch in to help by the pie