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Sagot :
ANSWER:
3 boxes of felt-tip pens
15 boxes of ballpoint pens
STEP-BY-STEP EXPLANATION:
Let x boxes of ballpoint pens and y boxes of felt-tip pens. With the help of the statement we formulate the following equations:
[tex]\begin{gathered} x=5y\text{ (1)} \\ 4.33x+3.43y=75.24\text{ (2)} \end{gathered}[/tex]We substitute equation (1) in equation (2) and solve for y, like this:
[tex]\begin{gathered} 4.33\cdot5y+3.43y=75.24 \\ 21.65y+3.43y=75.24 \\ 25.08y=75.24 \\ y=\frac{75.24}{25.08} \\ y=3 \\ \\ \text{ Now, for x},\text{ replacing in (1)} \\ x=5\cdot3 \\ x=15 \end{gathered}[/tex]Therefore, he bought 15 boxes of ballpoint pens and 3 boxes of felt-tip pens.
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