Question

please show steps
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

45x+28.50y=4770
45*30=1350 (x=30)
28.5*120=3420 (y=120)
1350+3420=4770
45(30)+28.50(120)=4770

Answer 2

Let the number of students went be x and number of adults went be y.

x + y = 150 (because total 150 people went on the trip)

And 28.50x + 45y = 4770 (as the question says)

Eliminate x from first equation : x = 150 - y

Put this value of x in second equation:

28.5(150 - y) + 45y = 4770

4275 - 28.5y + 45y = 4770

16.5y = 495

y = 30

x = 150 - y = 150 - 30 = 120

So, students were 120 and Adults were 30 that went to the trip..

Answer 3

thank you

Answer 4

Welcome dear...

Answer 5

you don't have to help

Your piggy bank has a total of 46 coins in it; some are dimes and some are quarters. If you have a total of $7.00, how many quarters and how many dimes do you have?

Answer 6

What is a dime and what is a quarter??
Quarter I think is 3/4 of anything...
Right??

Answer 7

Quarter is 25% or $0.25

Answer 8

Quarter=25 cents
Dime=10 cents

Answer 9

dimes in $0.10

Answer 10

Let there are x dimes and y quarters, then

x + y = 46

or x = 46 - y

0.1x + 0.25y = 7

0.1(46 - y) + 0.25y = 7

4.6 - 0.1y + 0.25y = 7

0.15y = 2.4

y = 16

x = 46 - y = 46 - 16 = 30

So, there are 30 dimes and 16 quarters in the piggy bank...