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12345 [234]
3 years ago
8

At a carnival, food tickets cost $2 each and ride tickets cost $3 each. A total of $1,240 was collected at the carnival. The num

ber of food tickets sold was 10 less than twice the number of ride tickets sold.
The system of equations represents x, the number of food tickets sold, and y, the number of ride tickets sold.

2x + 3y = 1240

x = 2y – 10

How many of each type of ticket were sold?
Mathematics
2 answers:
Zielflug [23.3K]3 years ago
8 0
2(2y-10)+3y=1240
7y-20=1240
7y=1260
y=180
2x+3(180)=1240
2x+540=1240
2x=700
x=350
So they sold 350 food tickets and 180 ride tickets in total.
#TeamAlvaxic
Hoochie [10]3 years ago
8 0

Answer:

Here, x represents the umber of food tickets sold and  y represents the number of ride tickets sold.

Given the system of equations:

2x+3y = 1240         ....[1]

x = 2y-10              ....[2]

Substitute the equation [2] into [1] we have;

2(2y-10)+3y = 1240

Using distributive property,

a \cdot(b+c) = a\cdot b+ a\cdot c

4y-20+3y = 1240

Combine like terms;

7y-20 = 1240

Add 20 to both sides we have;

7y= 1260

Divide both sides by 7 we have;

y = 180

Substitute this in [2] we have;

x = 2(180)-10 = 360-10 = 350

therefore, each type of ticket were sold are:

the number of food tickets sold is, 350 and the number of ride tickets sold is, 180

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Whitepunk [10]

Answer:

x=\frac{5}{4}

Step-by-step explanation:

2x+\frac{5}{8}=3x-\frac{5}{8}

Subtract 5/8 from both sides:-

2x+\frac{5}{8}-\frac{5}{8}=3x-\frac{5}{8}-\frac{5}{8}

2x+\frac{5}{8}-\frac{5}{8}

Add like terms:-

  • \frac{5}{8}-\frac{5}{8}=0
  • =2x

3x-\frac{5}{8}-\frac{5}{8}

Rule:- \frac{a}{c} \pm \frac{b}{c}=\frac{a \pm b}{c}

  • \frac{-5-5}{8}

Subtract, -5-5=-10

  • =\frac{-10}{8}

Cancel common factor: 2

  • =-\frac{5}{4}
  • =3x-\frac{5}{4}

---------------

2x=3x-\frac{5}{4}

Now, subtract 3x from both sides:-

2x-3x=3x-\frac{5}{4}-3x

-x=-\frac{5}{4}

Divide both sides by -1:-

\frac{-x}{-1}=\frac{-\frac{5}{4}}{-1}

x=\frac{5}{4}

<u>OAmalOHopeO</u>

4 0
2 years ago
Read 2 more answers
Solve and graph the following inequality!<br> m -2&lt;-8 or m/8 &gt; 1
Gre4nikov [31]

Not understanding this.

8 0
3 years ago
Rajesh is working out the area of a circle with radius 10 he writes
Maru [420]

Answer:

He multiplied the radius by 2 instead of squaring it

7 0
2 years ago
Suppose $2000 is invested at 9% interest compounded continuously. How long will it take for the investment to grow to $10,000? U
Lady bird [3.3K]

Answer:

7

Step-by-step explanation:

sing the equation         >    A  =  Pe^rt

20000  =    10000e^0.1t    >       10%  =  0.1

2  = e^0.1t

log 2  =    log e^0.1t               >     log to the base e

log 2  =  0.1t * 1              log e to the base e  =1

0.6931 = 0.1t

t =   6.931

  =    7 years

Hope this helps <3

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4 0
3 years ago
At the bank, Derek made 7 withdrawals, each in the same amount. His brother, John, made 5 withdrawls, each in the same amount. E
spayn [35]

At the bank, Derek made 7 withdrawals, each in the same amount. His brother, John, made 5 withdrawls, each in the same amount.

Let x be  the amount of one of Derek's withdrawals

Each of John's withdrawals was $5 more than each withdrawal that Derek made.

x + 5 is t the amount of one of John's withdrawals

Derek made 7 withdrawals

So amount withdraw 7 times = 7x

John made 5 withdrawals

So amount withdraw 5 times = 5(x+5)

Both Derek and John withdrew the same amount of money in the end

(A) 7x = 5(x+5)

(B) Solve for x

7x = 5x + 25

Subtract 5x from both sides

2x = 25

Divide by 2

x = 12.5

(C) check your solution

we plug in 12.5 for x in 7x= 5x + 25

7(12.5) = 5(12.5) + 25

87.5 = 62.5+ 25

87.5 = 87.5

(D) Each brother withdrawal 87.5 dollars



6 0
2 years ago
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