Respuesta :
Let r and b represent, respectively, the number of red and blue marbles. We know a couple of things:
- The total number of marbles is 77, so [tex] r+b = 77 [/tex]
- The number of blue marbles is five more than twice the number of red marbles, so [tex] b = 2r+5 [/tex]
So, we have the following system:
[tex] \begin{cases} r+b = 77\\b = 2r+5\end{cases}[/tex]
The second equation gives a way to express b in terms of r. Use this expression in the first equation:
[tex] r+b = 77 \iff r+(2r+5)=77 \iff 3r+5=77 \iff 3r = 72 \iff r = 24 [/tex]
So, if Jim has 24 red marbles, he has [tex] 77-24 = 53 [/tex] blue marbles.
Answer:
Step-by-step explanation:
r + 2r+5 = 77
3r = 72
red = 24 (# of red marbles)
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Solve for "b"::
b = 77 - r = 77-24 = 53 (# of blue marbles)
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Cheers,
Stan H.
