Answer: 2 pens and 4 pencils.
Step-by-step explanation:
If you buy 2 pens it is equal to $2.
If you buy 4 pencils it is also equal to $2.
2+2=4
and 2 pens and 4 pencils is equal to 6 in total.
Answer
[tex]2[/tex] pens and [tex]4[/tex] pencils were bought for [tex]\$4[/tex] such that [tex]6[/tex] pens and pencils are bought for [tex]\$4[/tex] and each pen costs [tex]\$1[/tex] and each pencil costs [tex]\$0.50[/tex].
The equation whose variables' highest power is one is known as linear equation.
To find the unknown quantities, always assume it to be a variable and then form the equation based on the conditions given in the question.
Let the number of pens bought be [tex]x[/tex].
and the number of pencils bought be [tex]y[/tex].
The total number of pens and pencils [tex]=6[/tex].
So, the first equation is,
[tex]x+y=6[/tex]
[tex]x=6-y[/tex] ... (i)
And the costs per pen and pencil is [tex]\$1[/tex] and [tex]\$0.50[/tex] respectively.
So, the second equation is,
[tex]x+0.5y=4[/tex] ... (ii)
Now, solve the pair of linear equations.
Put the value of [tex]x[/tex] in the equation (ii),
[tex]6-y+0.5y=4\\-0.5y=-2\\y=4[/tex]
So,
[tex]x=6-4\\x=2[/tex]
Thus, [tex]2[/tex] pens and [tex]4[/tex] pencils were bought for [tex]\$4[/tex].
Learn more about linear equations here- https://brainly.com/question/11897796
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