Question

At the city museum, child admission is $5.80 and adult admission is $9.40. On Friday, 143
tickets were sold for a total sales of 1013.00. How many child tickets were sold that day?

Answer 1

child is c, costs 5.80 per ticket
adult is a, costs 9.40 per ticket
5.80c+9.40a=1013 this finds the total amount of $
c+a=143 this finds the total amount of tickets sold
you can use substitution to solve for children's tickets (c)
a=143-c
substitute (143-c) for a into the first equation.
5.80c+9.40(143-c)=1013
5.80c+1344.2-9.40c=1013
subtract 1344.2 from both sides
combine the c terms
-3.6c=-331.2
divide both sides by -3.6
c=92

Answer 2

can u help me with 2 more? :o @ijakez

Answer 3

go for it

Answer 4

but so you can answer them without my help, you understand substitution right?

Answer 5

yes :O

Answer 6

Linda's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Linda $4.10 per pound, and type B coffee costs $5.45 per pound. This month's blend used four times as many pounds of type B coffee as type A, for a total cost of $725.20. How many pounds of type A coffee were used?

Answer 7

coffee a can be defined as "a"
coffee b can be defined as "b"
what are the two equations about the relationship between coffee a and coffee b, and the relationship between both coffees and the cost?

Answer 8

$4.10a and $5.45b

Answer 9

good, but those together equal what?
and what's the other equation?

Answer 10

=725.20

Answer 11

@ijakez

Answer 12

alright, so 4.10a+5.45b=725.20
do you know the second equation or do you need help? it's the equation you determine from the statement "This month's blend used four times as many pounds of type B coffee as type A".

Answer 13

i need help :s

Answer 14

@ijakez

Answer 15

all good!
so it says that four times as much pound B coffee was used as pound A
those words converted to an equation would look like
4b=a
now that you have the 2 equations, 4b=a and 4.10a+5.45b=725.20, solve for a!

Answer 16

im getting 35.6363636 wtf.

Answer 17

substitute a with 4b: 4.10(4b)+5.45b=725.2
multiply 4.1 and 4b: 16.4b+5.45b=725.2
add the b's: 21.85b=725.2
divide both sides by 21.85 to solve for b: b=33.1899314
plug it back in to the equation 4b=a
4(33.1899314)=a
a=132.7597256
a bit more calculator work, you can round to 3 decimals

Answer 18

so it's 132.76? :o @ijakez

Answer 19

yeah!

Answer 20

I got it wrong :s @ijakez

Answer 21

hmm, let me check my work then

Answer 22

oh crap, it's 4a=b my mistake!
can you resubmit?

Answer 23

yes

Answer 24

but I think it's ganna tell me to do 3 more problems now :/ since I got it wrong

Answer 25

I'll just solve them quickly, my bad
what are they?

Answer 26

A Web music store offers two versions of a popular song. The size of the standard version is 2.2 megabytes (MB). The size of the high-quality version is 4.5 MB. Yesterday, the high-quality version was downloaded three times as often as the standard version. The total size downloaded for the two versions was 3297 MB. How many downloads of the standard version were there?

Answer 27

@ijakez

Answer 28

standard: a
high quality: b
b=3a
2.2a+4.5b=3297
solve for a
2.2a+4.5(3a)=3297
2.2a+13.5a=3297
15.7a=3297
a=210

Answer 29

At the city museum, child admission is $6.10 and adult admission is $9.30. On Sunday,
163 tickets were sold for a total sales of $1227.90. How many adult tickets were sold that day? @ijakez

Answer 30

child is a
adult is b
a+b=163
6.1a+9.3b=1227.9
a=163-b
6.1(163-b)+9.3b=1227.9
994.3-6.1b+9.3b=1227.9
994.3+3.2b=1227.9
3.2b=233.6
b=73

Answer 31

1 more

Answer 32

Latoya's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Latoya $4.10 per pound, and type B coffee costs $5.30 per pound. This month, Latoya made 137 pounds of the blend, for a total cost of $630.10. How many pounds of type A coffee did she use?

Answer 33

@ijakez

Answer 34

a is a
b is b
4.1a+5.3b=630.1
a+b=137
find a
b=137-a
4.1a+5.3(137-a)=630.1
4.1a+726.1-5.3a=630.1
-1.2a=-96
a=80
done! so sorry

Answer 35

awww its ok :o Dont feel bad! atleast u finished it for me :)