At the apple pan 4 burgers and 3 fries cost 26.50. 5 burgers and 5 fries cost $36.25. what is the cost for each item?
1 answer:
Fries are $2.50 and burgers are $4.75.
Our system of equations for this situation would be
We want the coefficients of one of the variables to be the same in order to eliminate one of them; we will make the coefficients of f the same. To do this, multiply the top equation by 5 and the bottom equation by 3:
We subtract the bottom equation:
Divide both sides by 5:
5b/5 = 23.75/5
b = 4.75
Burgers are $4.75.
Substitute this into the first equation:
4(4.75) + 3f = 26.50
19 + 3f = 26.50
Subtract 19 from both sides:
19 + 3f - 19 = 26.50 - 29
3f = 7.50
Divide both sides by 3:
3f/3 = 7.50/3
f = 2.50
Our system of equations for this situation would be
We want the coefficients of one of the variables to be the same in order to eliminate one of them; we will make the coefficients of f the same. To do this, multiply the top equation by 5 and the bottom equation by 3:
We subtract the bottom equation:
Divide both sides by 5:
5b/5 = 23.75/5
b = 4.75
Burgers are $4.75.
Substitute this into the first equation:
4(4.75) + 3f = 26.50
19 + 3f = 26.50
Subtract 19 from both sides:
19 + 3f - 19 = 26.50 - 29
3f = 7.50
Divide both sides by 3:
3f/3 = 7.50/3
f = 2.50
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Answer:
936 jars of peanut butter contain less peanut butter than usual.
Step-by-step explanation:
1. First, we need to find how many jars of peanut butter that contain less peanut butter than advertised are produced every hour.
The factory produces 1200 jars of peanut butter every hour
3.25% of those jars have less peanut butter than advertised
So: multiply (the decimal form of the percent) to find the amount of peanut butter jars that contain less peanut butter than advertised.
So the factory produces 39 jars of peanut butter that contain less peanut butter than advertised.
2. Second, we need to find how many jars of peanut butter that contain less peanut butter than advertised in three 8 hour work days.
Lets add these work days together to find the total amount of hours:
So: three 8 hour work days totals to 24 hours
Since the factory produces 39 jars of peanut butter that contain less peanut butter than advertised per hour. Multiply to find the total amount of jars produced in three 8 hour work days.
A total of 936 peanut butter jars are produced in three 8 hour work days that contain less peanut butter than advertised.
3. If you want to double check your work do the following.
Since the factory produces 1200 jars an hour and 24 hours total three 8 hour work days. Multiply
So there is a total of 28800 jars produced in three 8 hour work days.
Then you can multiply 28800 by 3.25% of jars that contain less peanut butter to find the total amount of peanut butter jars that contain less peanut butter in three 8 hour work days.
Answer:
On a coordinate plane, a curve starts in quadrant 3 and then increases into quadrant 1. It crosses the y-axis at (0, negative 2) and crosses the x-axis at (1.5, 0)
Step-by-step explanation:
The attached graph is an example of the square root function scaled and translated.
_____
No transformation of the square root curve will turn it into a parabola or into two curves.
