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Sagot :
We can write this system of equations:
6x + 3y = 36
x + y = 8
If you graph this, it gives you a solution of (4, 4)
This tells us that the friends must buy 4 shirts and 4 caps in order to spend exactly $36 and to have 8 items total.
6x + 3y = 36
x + y = 8
If you graph this, it gives you a solution of (4, 4)
This tells us that the friends must buy 4 shirts and 4 caps in order to spend exactly $36 and to have 8 items total.
For this case, the first thing we must do is define variables.
We have then:
y: number of caps
x: number of shirts
We now write the system of equations that represents the problem:
[tex] x + y = 8
6x + 3y = 36
[/tex]
The graphical solution of the system of equations (see attached image) is:
[tex] x = 4
y = 4
[/tex]
Therefore, we have 4 shirts and 4 caps.
Answer:
[tex] x + y = 8
6x + 3y = 36
[/tex]
See attached image for the graphic
number of caps = 4
number of shirts = 4

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