adult tickets to a play cost $22. tickets for children cost $15. tickets for a group of 11 people cost a total of $228. write an
d solve a system of equations to find how many children and how many adults were in the group
2 answers:
Answer:
2 children 9 adults.
Step-by-step explanation::
$22 for adults and $15 for children.
Let x and y represent the unknown values and A represents cost for adults and C represents cost for children
C(x) + A(y)=228 would be one equation for this to figure out the amount of children to adults.
Since there are 11 people we know the x and y values when added cannot equal more than 11.
15(1) + 22(10)=235 So that's not correct
15(2) + 22(9) = 228 so that's the correct answer.
You could also graph if you weren't figuring out children to adults:
y=mx+b. y-intercept would be 11 because that's the amount of people altogether. y=__x+11. y=-1x+11. because of rise over run (1/-1= -1). So, it would also be a linear decreasing function!
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The length of ladder is 30 ft.
<h3>How can the feet that made up the side of the building is the top of the ladder be known ?</h3>The formula below can be used in solving the problem
Tan (∅)=
∅=70°
opposite = BC
Adjacent = 12 ft
70°= opposite/ 12
opposite= 32.96 ft
Therefore, The length of ladder is 30 ft.
NOTE; Since the actual diagram can not be found i solved another on on the same topic
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CHECK COMPLETE QUESTION BELOW:
Consider the diagram shown where a ladder is leaning against the side of a building. the base of the ladder is 12ft from the building. how long is the ladder? (to the nearest ft)
a. 25ft
b. 30ft
c. 35ft
d. 40ft
