Question

Solve each of the following problems using a system of equations. Show all of your work and state your solution in a complete sentence.

1 )Tony and Belinda have a combined age of 56. Belinda is 8 more than twice Tony’s age. How old is each? (2 points)
2)Salisbury High School decided to take their students on a field trip to a theme park. A total of 150 people went on the trip. Adults pay $45.00 for a ticket and students pay $28.50 for a ticket. How many students and how many adults went to the park if they paid a total of $4770?

Answer 1

I just set up #2 a few minutes ago.

Let A = the number of adults going on the trip
Let S = the number of students going on the trip

Then,

A + S = 150

Each adult ticket cost $45 so the total amount of money the adults spend on tickets is $45 times A.

Each student ticket cost $28.50 so the total amount of money the students spend on tickets is $28.50 times S.

Solve these two equations simultaneously:

A + S = 150
45*A + 28.5*S = 4770
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http://openstudy.com/users/directrix#/updates/51db52a5e4b076f7da4001ab

Answer 2

can you help me solve them

Answer 3

I'll do one and you do the other. You get to choose first. So, which one is yours?

Answer 4

the second one

Answer 5

I guess this is mine, then.

1 )Tony and Belinda have a combined age of 56. Belinda is 8 more than twice Tony’s age. How old is each?

Answer 6

Let T equal Tony's age
Let B equal Belinda's age.

T + B = 56
B = 8 + 2T
=======

T + B = 56
T + (8 + 2T) = 56
3T + 8 = 56
3T = 48

T = 16
B = 56 - 16 = 40

Toney is 16 and Belinda is 40.

Do check my work.

Answer 7

Your turn for #2.

Answer 8

A + S = 150 45*A + 28.5*S = 4770


A+(28.5*a)=4770,

Answer 9

A + S = 150 --> so A = 150 - S
45 A + 28.5 S = 4770
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45(150 - S) + 28.5 S = 4770

What is the next step?

Answer 10

45*150 - 45*S + 28.5*S = 4770

45*150 - 16.5*S = 4770

* means times

Okay, what is 45 times 150 ?

Answer 11

6,750

Answer 12

are you stuck ?

Answer 13

45*150 - 16.5*S = 4770
6,750 - 16.5S = 4770

-16.5 S = 4770 - 6,750

@celeste8o What is 4770 - 6,750 = ?

Answer 14

she could participate....this is not hard

Answer 15

you are giving her everything she needs

Answer 16

And, she's offline at that.

Answer 17

well...you tried