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Igoryamba
3 years ago
10

Solve the following word problem by using a system of equations.

Mathematics
1 answer:
coldgirl [10]3 years ago
4 0
For this problem, we can use systems of equations. I will use the variables <em>x </em> (for ice-cream) and <em>y</em> (for soda). We get the system:

2.25x+0.75y=30.00
x+y=18

Putting the second equation in terms of y, we get that y=-x+18. We can substitute this into our first equation.

2.25x+0.75y=30.00
becomes
2.25x+0.75(-x+18)=30

Solving for x, we get that x=11. This satisfies answer B.

However, if you want to check to see if this is correct, you could find y by plugging in your value of x into the first equation, then check to see if your found values satisfy BOTH equations.

2.25(11)+0.75y=30
24.75+0.75y=30
0.75y=5.25
y=7

Then we plug this into both equations to see if they are true.

2.25(11)+0.75(7)=30
24.75+5.25=30
30=30 (This is true)

x+y=18
11+7=18
18=18 (This is true).

Both equations are true, so the value for x and y are correct. We see that only answer B is supported through analyzing your work.

:)
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<h3>What is a frequency table?</h3>

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<h3>How to calculate the relative frequency for the third class, 60 - 69?</h3>

First of all, we would determine the total number of frequency as follows:

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Mathematically, relative frequency can be calculated by using this formula:

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Relative frequency = 12%.

Read more on frequency table here: brainly.com/question/20744563

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Complete Question:

You would like to build a relative frequency distribution for this data set to easily compare it to another class of students.

What is the relative frequency for the third class, 60 - 69?

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