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posledela
3 years ago
13

William had $240. Michael had $420. What was as the ratio of William's money to Michael's money ? PLEASE SHOW ALL STEPS.

Mathematics
2 answers:
nasty-shy [4]3 years ago
4 0
William has $240 to Michael's $420
this can be written in a ratio as 240 : 420
which can then be reduced to

24:42
12:21
4:7
kvv77 [185]3 years ago
4 0
When you see ratio, think fraction. So, we want :

William's money / Michael's money

They tell us that William has $280 and Michael has $420. Thus,

280 / 420

Now we need to simplify. both 280 and 420 share a factor of 140. Thus,

280/420 = (140 * 2) / (140 * 3) = 140/140 * 2/3 = 1 * 2/3 = 2/3
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Answer:

Step-by-step explanation:

Given that a solution containing 12% alcohol is to be mixed with a solution containing 4% alcohol to make 20 gallons of solution containing 9% alcohol.

Let x gallons of 12% alcohol be mixed with y gallons of 4% alcohol.

Total gallons= x+y = 20

Alcohol content in the total mixture = 0.12x+0.04y =9% of x+y

0.12x+0.4y=0.09(20)\\12x+4y = 180

b) Two equations are

x+y = 20\\12x+4y = 180

c) This is of the form Ax = B

where A =\left[\begin{array}{ccc}1&1\\12&4\end{array}\right]

Inverse is \frac{1}{4-12} \left[\begin{array}{ccc}4&-1\\-12&12\end{array}\right]\\=\frac{-1}{8} \left[\begin{array}{ccc}4&-1\\-12&12\end{array}\right]\\

Solution set is A inverse *B

= x \    12.5\\y  \     7.5

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3 years ago
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Tickets to the school musical are $5.00 for adults and $3.50 for students. If the total value of the tickets sold was $2517.50 a
stealth61 [152]
To answer this, you will write and equation in terms of the number of adult tickets sold and then solve for a, the number of adult tickets.

$5a + $3.50s = $2517.50
$5a + $3.50(a + 100) = $2517.50
5a + 3.50a + 350 = 2517.50
         8.50a  -350      -350
                  <u>8.5a</u>  = <u>2167.50</u>
                  8.5         8.5
    a = 255
The number of adult tickets sold was 255, and the number of student tickets sold was 355 (255 +100).


7 0
3 years ago
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