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Oliga [24]
3 years ago
9

You are running a concession stand at a basketball game. You are selling hot dogs and sodas. Each hot dog costs $1.50 and each s

oda costs $0.50. At the end of the night you made a total $150. Let x represent the number of hot dogs sold and y represent the number of sodas sold. Write an equation that can be used to find the number of hotdogs and sodas sold.
Mathematics
1 answer:
DochEvi [55]3 years ago
6 0

Answer:

<u>x= 35 hot dogs</u>

<u>y= 52 soda</u>

Step-by-step explanation:

x= hot dogs

y= soda

Total sold

1 x + 1 y = 87 .............1

2 x 0.50 y = 78.50 .............2

Eliminate y

multiply (1)by -0.50

Multiply (2) by 1.00

-0.50 x -0.50 y = -43.50

2 x + 0.50 y = 78.50

Add the two equations

1 x = 35.00

/ 1

x = 35.00

plug value of x in (1)

1 x + 1 y = 87

35 + y = 87

y = 87 -35

y = 52

y = 52.00

x= 35 hot dogs

y= 52 soda

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astraxan [27]

Answer:

33/338

Step-by-step explanation:

Green = 11

Red = 6

Blue = 9

P.Red = 6/26 = 3/13

P.Green = 11/26

P. Both in turns = 3/13 * 11/26

= 33/338

7 0
3 years ago
You have 6 liters that has 20% of strawberry juice. How many liters of an 80% strawberry juice should be added to the mixture to
Nataliya [291]

Answer:

127.2 litres

Step-by-step explanation:

Let x be the number of 80% strawberry juice( in litres ) mixed with 6 litre of 20% strawberry juice mixture to obtain 55%  strawberry juice,

∵ Resultant mixture = (6+x) litres,

Since, strawberry in x litres + strawberry in 6 litres = strawberry in resultant mixture

⇒ 80% of x + 20% of 6 = 55% of (60+x)

⇒ 80x + 20 × 6 = 55(60+x)

⇒ 80x + 120 = 55 × 60 + 55x

⇒ 80x = 3300 + 55x - 120

⇒ 80x - 55x = 3180

⇒ 25x = 3180

⇒ x = \frac{3300}{25} = 127.2

Hence, 127.2 litres of 80% mixture should be mixed.

7 0
4 years ago
How much is 250+250 -(3+4) ?
Vesnalui [34]
<span><span>250+250</span>−<span>(<span>3+4</span>)</span></span><span>=<span>493

There you go hope this helped</span></span>
4 0
3 years ago
Read 2 more answers
Two numbers are in the ratio 3:2. If the smaller number is 24, find the larger number
Daniel [21]
3:2
3x - first number
2x - second number

2x = 24 / : 2
x = 12

3*12 = 36

answer: the larger number is 36.

5 0
3 years ago
Read 2 more answers
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Komok [63]

Answer:

x=14/3

Step-by-step explanation:

According to the corresponding angles theorem, when parallel lines are cut by a transversal, the corresponding angles are congruent. These 3 lines are all parallel, so 70 = 12x +14.

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3 years ago
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