A store sells packages of 48 Snickers bars for $28 per package, and packages of 36 KitKat bars for $22.50 per package. Mrs. Sweettooth bought some packages of Snickers bars and some packages of KitKat bars in this store. She bought total 204 candy bars and paid $123.50. How many of each brand of candy bars did she buy?
Answers
The number of Snickers bar and KitKat bar bought is 95 and 109 respectively.
How to solve an equation
Cost of 48 Snickers = $28
Cost per one = $28/48
= $0.583
Cost of 36 KitKat = $22.50
cost per one = $22.50/36
= $0.625
let
- number of Snickers = x
- number of KitKat = y
x + y = 204 (1)
0.583x + 0.625y = 123.50 (2)
From (1)
x = 204 - y
substitute into (2)
0.583x + 0.625y = 123.50
0.583(204 - y) + 0.625y = 123.50
118.932 - 0.583y + 0.625y = 123.50
- 0.583y + 0.625y = 123.50 - 118.932
0.042y = 4.568
y = 4.568/0.042
y = 108.761904761904
Approximately,
y = 109
substitute into (1)
x + y = 204
x + 109 = 204
x = 204 - 109
x = 95
Learn more about equation:
Answer: 96 snickers and 108 kitkats
Step-by-step explanation: you should do system of equations and then it would be 48s+36k=204 and 28s+22.5k=123.5, after you do the math, the answer turns out to be 96 snickers and 108 kitkats. :)
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Answers
1/2 ÷ 2/3 (dividing is the same as multiplying by the reciprocal)
1/2 * 3/2 is 3/4 and that is not a whole number. Hope this helped.
Answers
Answer:
Preston has 19 games and Horatio has 30 games
Step-by-step explanation:
This problem is solved by a system of equations. First, the variables are defined:
p: Preston video games
h: Horatio video games
It is known that between them they have 49 video games, that is to say that between them they add 49 games. So the first equation is p+h=49.
On the other hand, it is known that Horatio has 11 video games more than Preston. This means that h=p+11
So, now you have the system of equations. To solve it, there are several methods. In this case the substitution is used, which consists on isolate a variable in one of your equations and replacing on the other equation.
In this case, you have an isolated variable: h=p+11. By replacing it in p+h=49, you get: p+p+11=49
Now you have an equation with a variable, which can be solved:
2*p+11=49
2*p=49-11
2*p=38
p=19
This means that Preston has 19 video games.
Now you have to determinate how many video games have Horatio. For that you know that h=p+11, and you knwo the value of p. Simply replacing you get the value of h
h=p+11
h=19+11
h=30
This means that Horatio has 30 video games.
h = p + 11
p + p + 11 = 49
2p = 38
Preston has 19 games
Horatio has 30
Answers
x + 282
—
6
cm2
(Simplify your answer.)
Answers
Answer:
187 cm^2
Step-by-step explanation:
Area of a parallelogram is base times height. 17 cm is the base and 11 cm is the height so, 17 cm times 11 cm equals 187 cm^2.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
Answers
53=12(m-3/4)-16
First we have to multiply 12 times every argument from the parethesis.
53=12*m*-3/4*12-16
53=12m-9-16
53=12m-25 /+25 (add 25 both sides)
53+25=12m
78=12m /:12 (divide both sides by 12)
78:12=m
6.5=m - its the answer
First,
You must multiply 12 by m and 12 by -3/4(0.75) which is 12m and -9
Second,
12m - 9 - 16 ~~Combine Like Terms And It Will Become 12m + 25
53 = 12m + 25 ~~ You Must Subtract 25 From Both Sides Of The Equation And It Becomes 28 = 12m
Third,
28 = 12m ~~divide both sides by 12
12 12 ~~ 12m/12 cancels out and 28/12 is 2
Therefore Your Answer is 2
Answers
The required in 6 miles there is 31680 feet, as of the given condition.
What is simplification?
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
1 mile = 5280 feet,
Multiply both sides by 6,
6 miles = 5280 × 6 feet
6 miles = 31680 feet
Thus, the required in 6 miles there is 31680 feet as of the given condition.
Learn more about simplification here:
#SPJ2
1 mile = 5280 feet
Multiply by 6:-
5280 × 6 = 31680
31680 feet = 6 miles