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dalvyx [7]
3 years ago
14

The admission fee at an amusement park is $1.50 for children and $4.00 for adults. On a certain day, 304 people entered the park

, and the admission fees collected totaled $856. Let x be the number of children that were admitted and let y be the number of adults that were admitted.?
Mathematics
1 answer:
jok3333 [9.3K]3 years ago
8 0

Answer:

x = 144 children

y = 160 adults

Step-by-step explanation:

We have parameters already defined. Number of children that entered is x while number of admitted adults is y.

Since the total number of people admitted was 304, this means:

x + y = 304

Total fees for that day was 856

Mathematically:

1.5x + 4y = 856

From the first equation, we can say y = 304 - x

We then substitute this into the second equation:

1.5x + 4(304 - x) = 856

1.5x + 1216 - 4x = 856

1216-856 = 4x-1.5x

2.5x = 360

x = 360/2.5 = 144

Since y = 304 - 144

y = 160

The number of children admitted was 144 and the number of adult is 160

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A grocery store bought some mangoes at a rate of 5 for a dollar. They were separated into two stacks, one of which was sold at a
Alexus [3.1K]

Answer:

The ratio of the number of mangoes in the $3 stack to those in the $6 stack is 1 : 2

Step-by-step explanation:

Let the number of mangoes bought by the grocery store be n. Also let the number of mango sold for $3 in one stack be x and the number of mango sold for $6 in the second stack be y.

Therefore:

x + y = z                                  (1)

Also, the mangoes was sold at break even price, that is the cost of the mango and the price it was sold for was the same. Therefore:

Cost of buying = Price it was sold for

The cost of the mango = 5z and the price it was sold for = 3x + 6y

3x + 6y = 5z                            (2)

Substituting z = x + y in equation 1

3x + 6y = 5(x + y)

3x + 6y = 5x + 5y

6y - 5y = 5x - 3x

y = 2x

x / y = 1/ 2 = 1 : 2

The ratio of the number of mangoes in the $3 stack to those in the $6 stack is 1 : 2

8 0
3 years ago
In triangle ABC, points N and M lie on sides AB and AC, respectively.Given AM = AN = BM = NC = BC, find m∠BAC.
Reil [10]

Answer:

  36°

Step-by-step explanation:

Please refer to the attached figure.

Triangles ANC, AMB, BCN, CBM are all isosceles by virtue of the given congruences. By symmetry, we also claim that ΔABC is isosceles (AB≅AC).

We aren't sure how their internal angles relate, but we can write a couple of equations.

Let x = m∠BAC, y = m∠BCN.

∠NCA = ∠NAC  = ∠MBA = ∠MAB = x

∠BCM = ∠BMC = x +y

∠BMC = ∠MBA +∠MAB = 2x

So, we have ...

  ∠BMC = x +y = 2x   ⇒    y = x

And the sum of angles around ΔABC is ...

  x +(2x) +(2x) = 180°

  x = 180°/5 = 36°

The measure of angle BAC is 36°.

7 0
3 years ago
PLEASEEEEE HELPPPPPPPP​
alexgriva [62]

Answer:

your answer is 50°

Step-by-step explanation:

Hope this helps

4 0
3 years ago
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What is 600 rounded to the nearest tenth
Reika [66]
600 round to the nearest tenth is 600 because there is no tenth place. Well there is but its a 0. If the number was 658 the answer would be 660.
7 0
3 years ago
Solve the inequality. 12x – 3x + 11 > 4x – (17 – 9x)
musickatia [10]

Answer:

20>4

Step-by-step explanation:

12-3 forget about the x 12-3=9 . 9+11=20

(17-9)=8 . 8-4 =4

so your answer is correct

6 0
3 years ago
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