Please help ^3^
1. A group of 11 people are going to the movies one Saturday. Adult's tickets cost $12.50 each and children's tickets cost $7.75 each. If the total cost for admission to the movies is $109.00 how many children attended the movies?
a.4
b.5
c.6
d.7
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OpenStudy (3mar):
may I help?
OpenStudy (yunomi):
Yes please
OpenStudy (3mar):
Thank you
OpenStudy (3mar):
This kind of problem is translated easily to number of functions/equations has the same number of variables.
OpenStudy (3mar):
So what do you think of the first given?
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OpenStudy (yunomi):
I don't know >.>
OpenStudy (3mar):
No problem!
Let's say that: 11 people will attend some of them adult (x) and others are children (y).
OpenStudy (3mar):
so the sum of those 11is
\[x+y=11............(I)\]
OpenStudy (yunomi):
okay
OpenStudy (3mar):
next given?
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OpenStudy (yunomi):
?
OpenStudy (3mar):
Try with me, don't hesitate, if even get wrong.
How can you translate the second given?
WHat are the variables available?
OpenStudy (yunomi):
12..
OpenStudy (3mar):
12 what?
OpenStudy (3mar):
How much doe it cost for adult?
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OpenStudy (3mar):
and how many adult?
OpenStudy (yunomi):
12.50 each
OpenStudy (3mar):
good:
12.50 times what?
OpenStudy (yunomi):
1? 11?
OpenStudy (yunomi):
11
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OpenStudy (yunomi):
11???????????????????????
OpenStudy (3mar):
every adult will pay 12.5
and there are x adult
then : 12.5x
ok?
OpenStudy (3mar):
The second part is similar:
number of children: y
and every child pays 7.75
then: 7.75y
OpenStudy (3mar):
These two parts equal the total amount of money 109$, which is
\[12.5x+7.75y=109 .............(II)\]
OpenStudy (yunomi):
okay
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OpenStudy (yunomi):
then waht
OpenStudy (3mar):
then you should to solve these two simple equation together.
Did you take that topic is your study before?
OpenStudy (yunomi):
solve for what how
OpenStudy (3mar):
so you did not take that lesson!
what grade are you in if I may know?
OpenStudy (yunomi):
2nd
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OpenStudy (3mar):
so how did you follow with me?
ARE YOU IN THE 2ND GRADE?
OpenStudy (yunomi):
12th
OpenStudy (yunomi):
2. Cheryl has a taxable income of $56,742 what is her tax liability
OpenStudy (3mar):
That makes sense!
OpenStudy (3mar):
\[x+y=11\]
\[12.5x+7.75y=109\]
solve :
x=5
y=6
adults are five and 6 children.
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OpenStudy (yunomi):
is the answer c?
OpenStudy (yunomi):
c?
OpenStudy (3mar):
Correct!
C
OpenStudy (yunomi):
really? yay
OpenStudy (3mar):
Yes
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OpenStudy (yunomi):
Can you help me with another
OpenStudy (3mar):
Before go to another post, did you get the idea?
OpenStudy (yunomi):
I think so
OpenStudy (3mar):
Thank you for the medal!
OpenStudy (yunomi):
Help with another? please?
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OpenStudy (yunomi):
1. Gabriel needs to purchase baseballs and bats for his youth baseball league. He'll need at least 20 peices of equaipment. but he only has $525 to spend. Baseballs cost $20 each and bats cost $35 each. If Gabriel wants to purchase the largest amount of equipment and still stay within his budget , which combination of baseballs and bats is optimal?