Two types of tickets were sold for a concert held at
an amphitheater. Tickets to sit on a bench during the
concert cost $75 each, and tickets to sit on the lawn
during the concert cost $40 each. Organizers of the
concert announced that 350 tickets had been sold
and that $19,250 had been raised through ticket sales
alone. Which of the following systems of equations
could be used to find the number of tickets for bench
seats, B, and the number of tickets for lawn seats, L,
that were sold for the concert?

BENCH:150

LAWN:200

Step-by-step explanation:

B+L=350

75B+40L=19250

75B+40(350-B)=19250

75B+14000-40B=19250

75B-40B=5250

35B=5250

B=150

L=200

answer:

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

explanation:

service only with 20% tip  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

in the opening of the question the word 'service' is associated only with the pretax value.

the closing part of the question asks: how much did she pay for the  

service

−−−−−−  

so technically the answer is  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

however, the intention of the question provider may have been that your answer is to be  

$

87.12

(

1

+

8

100

)

=

$

94.09

to 2 decimal places.

'

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

tony b

mar 21, 2017

answer:

trying to explain it another way

explanation:

service charge  

.

→

$

72.60

20% tip  

20

100

×

$

72.60

=

$

14.52

−−−−−−  

←

add

$

87.12

tax  

8

100

×

$

87.12

=

$

6.97

−−−−−  

←

add

$

94.09

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