Answer:
185 adults and 184 children
Step-by-step explanation:
People entering the park = adults plus children
369 = a+c
Total money = admission fee for kids * number of children + admission fee for adults * number of adults
1671 = 3.25c + 5.80a
We have 2 equations and 2 unknowns
Solve the first equation for a by subtracting c from each side
369-c = a+c-c
369-c =a
Substitute this in to the second equation
1671 = 3.25 c +5.80 (369-c)
Distribute the 5.8
1671 =3.25c +5.8*369 - 5.8c
1671 = 3.25c +2140.2-5.8c
Combine like terms
1671 = -2.55c +2140.2
Subtract 2140.2 from each side
1671-2140.2 = -2.55c +2140.2-2140.2
-469.2 = -2.55c
Divide by -2.55 on each side
-469.2/-2.55 = -2.55c/-2.55
184 =c
There were 184 children
Now we need to find a
369 = a+c
369 = a+184
Subtract 184 from each side
369-184 = a+184-184
185 =a
There were 185 adults
Answer: 11√7
<u>Step-by-step explanation:</u>
Inversely proportional means y√x=k, where k is the constant of proportionality
Find k, when x = 7 and y = 11 ----> 11√7 = k
If it has only one solution that means that there is only one value of x that will fulfill this equation
35 - 5x + 6x - 36 = -24 - 17x + 17x + 24
-5x + 6x - 36 = -24 -17x + 17x + 24 - 35
x - 36 = -24 + 24 - 35 (I just canceled out the 17x because it would have justy made the process longer if I moved them over)
x = -24 + 24 - 35 + 36
x = -35 + 36
x = 1
Answer:
x=90/7
Step-by-step explanation:
7x=90
x=90/7
