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Valentin [98]
3 years ago
9

A school fair ticket costs $8 per adult and $1 per child. On a certain day, the total number of adults (a) and children (c) who

went to the fair was 30, and the total money collected was $100. Which of the following options represents the number of children and the number of adults who attended the fair that day, and the pair of equations that can be solved to find the numbers? (4 points)
Mathematics
2 answers:
Liono4ka [1.6K]3 years ago
7 0
A+c=30
(8)a+(1)c=100

a=10 adults
c=20 children
Nadusha1986 [10]3 years ago
5 0
$88 adults and $12 children
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Solve each system by substitution<br><br> 2x - 3y = -1<br> X + 4y = -6
lord [1]

Answer:

(- 2, - 1 )

Step-by-step explanation:

Given the 2 equations

2x - 3y = - 1 → (1)

x + 4y = - 6 → (2)

Rearrange (2) expressing x in terms of y by subtracting 4y from both sides

x = - 6 - 4y → (3)

Substitute x = - 6 - 4y into (1)

2(- 6 - 4y) - 3y = - 1 ← distribute and simplify left side

- 12 - 8y - 3y = - 1

- 12 - 11y = - 1 ( add 12 to both sides )

- 11y = 11 ( divide both sides by - 11 )

y = - 1

Substitute y = - 1 into (3) for corresponding value of x

x = - 6 - 4(- 1) = - 6 + 4 = - 2

Solution is (- 2, - 1 )

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Alex777 [14]

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Step-by-step explanation:

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kherson [118]

Solution: Below! ^^

Detailed explanation:

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Next, this question also provides us with the fact that the slope of the line is 1/4. This is yet another valuable piece of information!

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gogolik [260]

Answer:


Step-by-step explanation:

a. Profit, p, earned from selling x hats when hat will be sold for $12 each:

p = 12x


b. To recover the cost of making the 200 hats which is $1500, profit, p >= cost:

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x >= 1500/12 = 12.5

So the minimum number of hats that must be sold = 13


c. New hat price = $15 so p = 15x

p = 15x >= 1500

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