pedrokekecaldeon9 pedrokekecaldeon9
  • 09-12-2020
  • Mathematics
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The gym has 4 times as many baseballs than basketballs the gym has 25 total balls how many more baseballs than basket balls does the gym have

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ChefTopeau
ChefTopeau ChefTopeau
  • 09-12-2020

Let [tex]b[/tex] be the number of baseball and [tex]k[/tex] be the number of basket ball.

We have the following system:

[tex]\begin{cases}b=4k\\b+k=25\end{cases}[/tex]

Substitute the first equation into the second:

[tex]4k+k=25 \iff 5k=25 \iff k=5[/tex]

which yields

[tex]b=4k=4\cdot 5 = 20[/tex]

So, there are 20 baseballs and 5 basketballs, meaning that there are 15 more baseballs than basketballs.

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