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Makovka662 [10]
3 years ago
13

Sterday, a movie theater sold 262 bags of popcorn. a large bag of popcorn costs ​$3. a small bag of popcorn costs ​$1. in​ all,

the movie theater made ​$412 from popcorn sales. write and solve a system of equations to find how many bags of each size of popcorn were sold.
Mathematics
1 answer:
Dafna11 [192]3 years ago
4 0
They sold 187 small bags and 75 large bags.

Two variables L and S (large & small)

We know that L + S = 262  -> the amount of bags sold

We also know that 3L + 1S = $412 -> total money made

L = 262 - S 

Plug that into the second equation:

3(262 - S) + 1S = 412

786 - 3S + 1S = 412

786 - 2S = 412
786 - 412 = 2S
374 = 2S
S = 187
187 small bass and 
So they sold 187 small bags

L = 262 - 187 = 75 

They sold 75 large bags.


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The student at Abu 's School voted for a new school mascot. 60% of the students voted to be the Falcons. If there are 595student
aniked [119]

Answer:

<h2><u>Given</u><u> </u><u>:</u><u>-</u></h2>
  • There are 595 total students in the school .
  • 60% of the total students voted to be the falcons .

\large\bf{\underline{To \:find }}

  • How many students voted not to be in falcon ?

\large\bf{\underline{Therefore  }}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎⟹ 100 - 60 = 40

  • 40% of the total students voted not be in falcon

\large\bf{\underline{Hence }}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎⟹ 40% of 595

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎= \frac{40}{100}  \times 595

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎=2 \times 119

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎= 238

\bf{\underline{So , 238 \: students \:voted \:not\:to \:be\:in\: falcon }}

7 0
2 years ago
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VMariaS [17]

Answer:

The answer is 3x because 3 times 4 is 12, and 12+3=15.

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104 pounds requires 156 milligrams of medicine what is the weight of a patient who requires 207 milligrams of medicine
Lubov Fominskaja [6]

Answer:

138 pounds

Step-by-step explanation:

Let the required weight of the patient be x pounds.

We have that,

156 milligrams of medicine is required for a patient weighing 104 pounds.

Then, 207 milligrams of medicine will be required for a patient having weight as shown below,

Weight of the patient = \frac{104 \times 207}{156}

i.e. x = \frac{21528}{156}

i.e. x = 138

Hence, the patient needing 207 milligrams of medicine will have the weight 138 pounds.

5 0
2 years ago
If 52 is 130% of a number, is the number greater then or less the 52? Explain
olga_2 [115]
X= a number

If 52 is 130% of a number, then we multiply the unknown number by 130%.

x * 130%= 52
convert % to decimal (130%÷100)

1.3x= 52
divide both sides by 1.3

x= 40


ANSWER: The unknown number is 40, so it is less than 52. We multiply the unknown number by 130% to equal 52.

Hope this helps! :)
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