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sammy [17]
2 years ago
5

An office supply store recently sold a black printer ink cartridge for $17.99 and a color printer ink cartridge for $20.99. At t

he start of a recent fall
semester, a total of 59 of these cartridges was sold for a total of $1118.41. How many of each type were purchased?
Mathematics
1 answer:
UNO [17]2 years ago
8 0

Answer:

40 black ink cartridges and 19 colored ink cartridges

Step-by-step explanation:

Let b represent the number of black printer ink cartridges sold. Let c represent the number of color printer ink cartridges sold.

Set up a system of equations:

\displaystyle\\\begin{cases}b+c=59\\17.99b+20.99c=1,118.41\end{cases}

b+c=59\implies b=59-c

Substitute:

\displaystyle\\17.99(59-c)+20.99c=1,118.41\\\implies c=\boxed{19}

\implies b+19=59\implies b=\boxed{40}

⇒ 40 black ink cartridges, 19 colored ink cartridges (ans)

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