Mathematics, 23.01.2020 18:31 middlegirlrule6848

The popcorn stand sells only soft drinks and popcorn, and only one size of each. in fact, the same cup is used for both products this is part of the stand's "sales pitch. "a soft drink cost $2.00 and a popcorn cost $4.00. on a certain day, 120 cups were used and $330.00 was collected. how many soft drinks and how many popcorns were sold on that day? use a system of equations approach to find your answer. show all work.

Answers: 1

Show answers

Answers

Answer from: alaj6878

On that day 75 soft drinks and 45 popcorn were sold.

Step-by-step explanation:

Given:

Let the number of soft drinks be 'x'.

Let the number of popcorn be 'y'.

Number of cups sold = 120

Now we know that;

Number of cups sold is equal to sum of the number of soft drinks and the the number of popcorn.

framing in equation form we get;

$x+y=120 \ \ \ \ equation \ 1$

Also Given:

Cost of Soft drink = $2 .00

Cost of popcorn = $4.00

Total amount collected = $330.00

Now we know that;

Total amount collected is equal to sum of the number of soft drinks multiplied by Cost of Soft drink and the number of popcorn multiplied Cost of popcorn.

framing in equation form we get;

$2x+4y = 330 \ \ \ \ eqaution \ 2$

Hence The System of equation to determine the number of softdrinks and cups sold is $\left \{ {{x+y=120} \atop {2x+4y=330}} \right.$ .

Now to find the number of each type of cups sold we will solve the above equations.

First we will multiply equation 1 with 2 we get;

$2(x+y)=120\times2\\\\2x+2y =240 \ \ \ \ equation \ 3$

Now we will subtract equation 3 from equation 2 we get;

$2x+4y-(2x+2y)=330-240\\\\2x+4y-2x-2y=90\\\\2y = 90$

Now Dividing both side by 2 we get;

$\frac{2y}{2}= \frac{90}{2}\\\\y=45$

Now we will substitute the value of 'y' in equation 1 we get;

$x+y=120\\\\x+45 =120\\\\x=120-45 = 75$

Hence On that day 75 soft drinks and 45 popcorn were sold.

Answer from: Quest

,jkulgiurutrjyftkugyi.uykujuyxjdkytuf,yukj

step-by-step explanation:

Answer from: Quest

$655.61 which is option c

step-by-step explanation:

price of house = $146,000

initial rate = 3.5%

mortgaged paid in this = 3.5 % of $146,000

= $\frac{3.5*146000}{100}$

=$5110

the total years would be = 7

total mortgaged paid = 7 * $5110

=$35770

remaining money = $146000-35770

=$110230

new mortgaged payment = 5 % of 110230

= $\frac{5*110230}{100}$

=$655.61

Another question on Mathematics

Mathematics, 21.06.2019 14:30

The contents of 3838 cans of coke have a mean of x¯¯¯=12.15x¯=12.15. assume the contents of cans of coke have a normal distribution with standard deviation of σ=0.12.σ=0.12. find the value of the test statistic zz for the claim that the population mean is μ=12.μ=12.

Answers: 1

Answer

Mathematics, 21.06.2019 15:30

Two blends of tea are mixed to make a blend that will be sold at the fair. black tea sells for $2.20 per pound and orange pekoe tea sells for $3.00 per pound. how much of each should be used to obtain a 4lb blend selling for $2.50 per pound?

Answers: 1

Answer

Mathematics, 21.06.2019 22:00

The sum of the speeds of two trains is 720.2 mph. if the speed of the first train is 7.8 mph faster than the second train, find the speeds of each.

Answers: 1

Answer

Mathematics, 21.06.2019 23:30

Solve this 364x-64x=300x and 12(x2–x–1)+13(x2–x–1)=25(x2–x–1)

Answers: 1

Answer

You know the right answer?

The popcorn stand sells only soft drinks and popcorn, and only one size of each. in fact, the same c...