Admission to the museum is $12 for children and $15 for adults. On a certain day 2450 people go the the museum and $33,456 is collected How many adults and children went to museum

___children
___adults

Answers

Answer 1
Answer: c = children
a = adults

12c + 15a = 33456 (price)
c + a = 2450 (people)
c = 2450 - a (rewrite^)

12(2450 - a) + 15a = 33456 (substitute into the price equation)
29400 - 12a + 15a = 33456
3a = 4056
a = 1352

c = 2450 - (1352)
c = 1098

1098 children
1352 adults
Answer 2
Answer: x-\ number\ of\ children\ny-\ number\ of\ adults\n\n \left \{ {{x+y=2450} \atop {12x+15y=33456}} \right. \n\n \left \{ {{x=2450-y} \atop {12x+15y=33456}} \right. \n\n substitution\ method\n\n12(2450-y)+15y=33456\n\n29400-12y+15y=33456\n\n29400+3y=33456\ \ \ \ | subtract\ 29400\n\n3y=4056\ \ \ \ | divide\ by\ 3\n\ny=1352\n\nx=2450-1352=1098\n\nThere\ were\ 1098\ children\ and\ 1352\ adults.

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Write a unit rate for the situation
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Answers

To write a unit rate we have to find out, something per something. Here we will find out how many words per min. TO do this we will divide the amount of words (250) by the amount of minutes (5). Lets do it:-

250 ÷ 5 = 50
50 words per min.

CHECK OUR WORK:-

50 × 5 = 250
We were RIGHT!!

So, a unit rate for the situation "250 words in 5 minutes" is 50 words per min.

Hope I helped ya!! xD
250 words in 5 minutes
To find how many words per minute, divide 250 by 5.
That would give you 50 words per minute. 
This would be a linear equation because there is a steady unit rate.
The rate is 5 so the equation is
y=5x
Hope this helps. 

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Answers

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Answers

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Hope this helps!
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