Y = -2 x - 9
3 x - 4(-2 x - 9 ) = -8
3 x + 8 x + 36 = - 8
11 x = - 44, x = - 4
y = 8 - 9 , y = -1
This is a unique solution, the system is independent.
Since it would be 60% of the original price which is 500 it would have be $300
<u>The correct answers are:</u>
$47.50;
$24.25;
$5.75;
$123.03;
$18;
$59;
Home by $7.50; and
separate rentals.
Explanation:
<u><em>For the first question:</em></u>
Your family purchases 2 adult tickets at $8 each; 2*8=16. You then purchase 1 10-18 ticket for $7.25 and 1 under 10 ticket for $4.25. You then purchase $20 in soda and popcorn. This gives us a total of:
16+7.25+4.25+20=47.50.
<u><em>For the second question:</em></u>
You purchase your ticket for 7.25 and a ticket for each of your siblings at 4.25, which is 2*4.25=8.50. You then purchase $10 in soda and popcorn. This gives us a total of:
7.25+8.50+10=25.75.
The change will be:
50-25.75=24.25.
<u><em>For the third question:</em></u>
5 tickets at $16.85 each would be 5*16.85=84.25.
This gives us
90-84.25=5.75 in change.
<u><em>For the fourth question:</em></u>
7 tickets at $13.79 each will cost 7*13.79=96.53.
The handling for all 7 tickets, at $2.50 each, will be 7*2.50=17.50
These together with the shipping charge will be
96.53+17.50+9=$123.03.
<u><em>For the fifth question:</em></u>
The book of 8 tickets, which cost $5.25 each, will be 8*5.25=$42.
This will give us
60-42=$18 in change.
<u><em>For the sixth question:</em></u>
He has buy one get one free tickets; this means he will buy 3 tickets and get 3 free for the first 6 tickets. He will then need to buy the 7th ticket; this means he will pay for 4 tickets:
4*10.25=$41.
Out of $100, he will have
100-41=$59 in change.
<u><em>For the seventh question:</em></u>
The tickets at Theatre Y cost 8.25*2=16.50. Two drink/popcorn combos at the theatre will cost 4.50*2=9. Together, this is 16.50+9=25.50.
The cost of the dvd rental (4.50), soda (1.50) and popcorn (2.00) at home is 4.50+1.50+2=8. This makes staying at home the cheaper option; it is
25.50-8=$17.50 cheaper.
<u><em>For the eighth question:</em></u>
4 separate rentals will cost 4*3.99=$15.96. This is cheaper than $20.
